630877132828800 has 1536 divisors, whose sum is σ = 2714771081030400. Its totient is φ = 141055937740800.

The previous prime is 630877132828757. The next prime is 630877132828819. The reversal of 630877132828800 is 8828231778036.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15036257422 + ... + 15036299378.

Almost surely, 2^{630877132828800} is an apocalyptic number.

630877132828800 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 630877132828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357385540515200).

630877132828800 is an abundant number, since it is smaller than the sum of its proper divisors (2083893948201600).

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

630877132828800 is a wasteful number, since it uses less digits than its factorization.

630877132828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43231 (or 43208 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 630877132828800 in words is "six hundred thirty trillion, eight hundred seventy-seven billion, one hundred thirty-two million, eight hundred twenty-eight thousand, eight hundred".