87681663276480 has 3360 divisors, whose sum is σ = 399996617328000. Its totient is φ = 18223749992448.

The previous prime is 87681663276469. The next prime is 87681663276491. The reversal of 87681663276480 is 8467236618678.

It is a happy number.

87681663276480 is a `hidden beast` number, since 8 + 7 + 6 + 8 + 16 + 63 + 2 + 76 + 480 = 666.

87681663276480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (87681663276469) and next prime (87681663276491).

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-4 number, since 4×87681663276480⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 87681663276399 and 87681663276408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1308681541407 + ... + 1308681541473.

It is an arithmetic number, because the mean of its divisors is an integer number (119046612300).

Almost surely, 2^{87681663276480} is an apocalyptic number.

87681663276480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87681663276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199998308664000).

87681663276480 is an abundant number, since it is smaller than the sum of its proper divisors (312314954051520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87681663276480 is an frugal number, since it uses more digits than its factorization.

87681663276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 87681663276480 in words is "eighty-seven trillion, six hundred eighty-one billion, six hundred sixty-three million, two hundred seventy-six thousand, four hundred eighty".