87739424640 has 256 divisors, whose sum is σ = 355136256000. Its totient is φ = 20054697984.

The previous prime is 87739424609. The next prime is 87739424657. The reversal of 87739424640 is 4642493778.

87739424640 is a `hidden beast` number, since 8 + 7 + 7 + 394 + 246 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241720 + ... + 483639.

It is an arithmetic number, because the mean of its divisors is an integer number (1387251000).

Almost surely, 2^87739424640 is an apocalyptic number.

87739424640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87739424640 is an abundant number, since it is smaller than the sum of its proper divisors (267396831360).

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

87739424640 is a wasteful number, since it uses less digits than its factorization.

87739424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725394 (or 725376 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 87739424640 in words is "eighty-seven billion, seven hundred thirty-nine million, four hundred twenty-four thousand, six hundred forty".