87645668976 has 100 divisors (see below), whose sum is σ = 253817986752. Its totient is φ = 29198409984.

The previous prime is 87645668969. The next prime is 87645669017. The reversal of 87645668976 is 67986654678.

87645668976 is a `hidden beast` number, since 87 + 6 + 456 + 6 + 8 + 97 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2344060 + ... + 2381156.

Almost surely, 2^87645668976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87645668976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126908993376).

87645668976 is an abundant number, since it is smaller than the sum of its proper divisors (166172317776).

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

87645668976 is a wasteful number, since it uses less digits than its factorization.

87645668976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38940 (or 38925 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 87645668976 in words is "eighty-seven billion, six hundred forty-five million, six hundred sixty-eight thousand, nine hundred seventy-six".