87664824000 has 672 divisors, whose sum is σ = 342607172544. Its totient is φ = 21266841600.

The previous prime is 87664823977. The next prime is 87664824029. The reversal of 87664824000 is 42846678.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68327359 + ... + 68328641.

It is an arithmetic number, because the mean of its divisors is an integer number (509832102).

Almost surely, 2^87664824000 is an apocalyptic number.

87664824000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87664824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171303586272).

87664824000 is an abundant number, since it is smaller than the sum of its proper divisors (254942348544).

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

87664824000 is a wasteful number, since it uses less digits than its factorization.

87664824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 87664824000 in words is "eighty-seven billion, six hundred sixty-four million, eight hundred twenty-four thousand".