87668904960 has 1760 divisors, whose sum is σ = 407458985472. Its totient is φ = 17517772800.

The previous prime is 87668904941. The next prime is 87668904977. The reversal of 87668904960 is 6940986678.

87668904960 is a `hidden beast` number, since 8 + 7 + 66 + 89 + 0 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 868008910 + ... + 868009010.

Almost surely, 2^87668904960 is an apocalyptic number.

87668904960 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 87668904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203729492736).

87668904960 is an abundant number, since it is smaller than the sum of its proper divisors (319790080512).

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

87668904960 is a wasteful number, since it uses less digits than its factorization.

87668904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 87668904960 in words is "eighty-seven billion, six hundred sixty-eight million, nine hundred four thousand, nine hundred sixty".