87640622464 has 128 divisors (see below), whose sum is σ = 183127046400. Its totient is φ = 41737918464.

The previous prime is 87640622417. The next prime is 87640622477. The reversal of 87640622464 is 46422604678.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56798077 + ... + 56799619.

It is an arithmetic number, because the mean of its divisors is an integer number (1430680050).

Almost surely, 2^87640622464 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 87640622464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91563523200).

87640622464 is an abundant number, since it is smaller than the sum of its proper divisors (95486423936).

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

87640622464 is a wasteful number, since it uses less digits than its factorization.

87640622464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 49.

The spelling of 87640622464 in words is "eighty-seven billion, six hundred forty million, six hundred twenty-two thousand, four hundred sixty-four".