87462633600 has 960 divisors, whose sum is σ = 357013578240. Its totient is φ = 20972666880.

The previous prime is 87462633593. The next prime is 87462633613. The reversal of 87462633600 is 633626478.

87462633600 is a `hidden beast` number, since 8 + 7 + 4 + 6 + 2 + 6 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 101346769 + ... + 101347631.

It is an arithmetic number, because the mean of its divisors is an integer number (371889144).

Almost surely, 2^87462633600 is an apocalyptic number.

87462633600 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 87462633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178506789120).

87462633600 is an abundant number, since it is smaller than the sum of its proper divisors (269550944640).

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

87462633600 is a wasteful number, since it uses less digits than its factorization.

87462633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 87462633600 in words is "eighty-seven billion, four hundred sixty-two million, six hundred thirty-three thousand, six hundred".