87627732480 has 480 divisors, whose sum is σ = 326325542400. Its totient is φ = 21661433856.

The previous prime is 87627732403. The next prime is 87627732541. The reversal of 87627732480 is 8423772678.

87627732480 is a `hidden beast` number, since 8 + 7 + 62 + 77 + 32 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20572591 + ... + 20576849.

It is an arithmetic number, because the mean of its divisors is an integer number (679844880).

Almost surely, 2^87627732480 is an apocalyptic number.

87627732480 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 87627732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163162771200).

87627732480 is an abundant number, since it is smaller than the sum of its proper divisors (238697809920).

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

87627732480 is a wasteful number, since it uses less digits than its factorization.

87627732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4354 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 87627732480 in words is "eighty-seven billion, six hundred twenty-seven million, seven hundred thirty-two thousand, four hundred eighty".