87964051968 has 240 divisors, whose sum is σ = 274113455616. Its totient is φ = 26995138560.

The previous prime is 87964051963. The next prime is 87964052039. The reversal of 87964051968 is 86915046978.

87964051968 is a `hidden beast` number, since 8 + 79 + 6 + 40 + 519 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (87964051963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25816921 + ... + 25820327.

Almost surely, 2^87964051968 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 87964051968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137056727808).

87964051968 is an abundant number, since it is smaller than the sum of its proper divisors (186149403648).

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

87964051968 is a wasteful number, since it uses less digits than its factorization.

87964051968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 87964051968 in words is "eighty-seven billion, nine hundred sixty-four million, fifty-one thousand, nine hundred sixty-eight".