632406515553344 has 560 divisors, whose sum is σ = 1573832436580800. Its totient is φ = 251345377382400.

The previous prime is 632406515553311. The next prime is 632406515553359. The reversal of 632406515553344 is 443355515604236.

632406515553344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 632406515553344.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37578369122 + ... + 37578385950.

Almost surely, 2^{632406515553344} is an apocalyptic number.

632406515553344 is a gapful number since it is divisible by the number (64) 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 632406515553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786916218290400).

632406515553344 is an abundant number, since it is smaller than the sum of its proper divisors (941425921027456).

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

632406515553344 is a wasteful number, since it uses less digits than its factorization.

632406515553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17160 (or 17129 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 56.

The spelling of 632406515553344 in words is "six hundred thirty-two trillion, four hundred six billion, five hundred fifteen million, five hundred fifty-three thousand, three hundred forty-four".