87633008640 has 144 divisors (see below), whose sum is σ = 303720580800. Its totient is φ = 23368777728.

The previous prime is 87633008633. The next prime is 87633008681. The reversal of 87633008640 is 4680033678.

87633008640 is a `hidden beast` number, since 8 + 7 + 633 + 0 + 0 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 383280 + ... + 567599.

It is an arithmetic number, because the mean of its divisors is an integer number (2109170700).

Almost surely, 2^87633008640 is an apocalyptic number.

87633008640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87633008640 is an abundant number, since it is smaller than the sum of its proper divisors (216087572160).

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

87633008640 is a wasteful number, since it uses less digits than its factorization.

87633008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950912 (or 950889 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 87633008640 in words is "eighty-seven billion, six hundred thirty-three million, eight thousand, six hundred forty".