87613402464 has 480 divisors, whose sum is σ = 311715081216. Its totient is φ = 23598812160.

The previous prime is 87613402463. The next prime is 87613402477. The reversal of 87613402464 is 46420431678.

87613402464 is a `hidden beast` number, since 8 + 7 + 61 + 340 + 246 + 4 = 666.

It is a super-2 number, since 2×87613402464² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87613402463) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29627674 + ... + 29630630.

Almost surely, 2^87613402464 is an apocalyptic number.

87613402464 is a gapful number since it is divisible by the number (84) 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 87613402464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155857540608).

87613402464 is an abundant number, since it is smaller than the sum of its proper divisors (224101678752).

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

87613402464 is a wasteful number, since it uses less digits than its factorization.

87613402464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 87613402464 in words is "eighty-seven billion, six hundred thirteen million, four hundred two thousand, four hundred sixty-four".