630877055208400 has 720 divisors, whose sum is σ = 2057142144948352. Its totient is φ = 180919451750400.

The previous prime is 630877055208397. The next prime is 630877055208443. The reversal of 630877055208400 is 4802550778036.

630877055208400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1351917514 + ... + 1352384086.

Almost surely, 2^{630877055208400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630877055208400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028571072474176).

630877055208400 is an abundant number, since it is smaller than the sum of its proper divisors (1426265089739952).

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

630877055208400 is a wasteful number, since it uses less digits than its factorization.

630877055208400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466940 (or 466918 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 55.

The spelling of 630877055208400 in words is "six hundred thirty trillion, eight hundred seventy-seven billion, fifty-five million, two hundred eight thousand, four hundred".