632544460800 has 768 divisors, whose sum is σ = 2424639813120. Its totient is φ = 142517207040.

The previous prime is 632544460789. The next prime is 632544460831. The reversal of 632544460800 is 8064445236.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×632544460800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1427865379 + ... + 1427865821.

It is an arithmetic number, because the mean of its divisors is an integer number (3157083090).

Almost surely, 2^632544460800 is an apocalyptic number.

632544460800 is a gapful number since it is divisible by the number (60) 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 632544460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212319906560).

632544460800 is an abundant number, since it is smaller than the sum of its proper divisors (1792095352320).

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

632544460800 is an equidigital number, since it uses as much as digits as its factorization.

632544460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 632544460800 in words is "six hundred thirty-two billion, five hundred forty-four million, four hundred sixty thousand, eight hundred".