630655634400 has 288 divisors, whose sum is σ = 2240350358400. Its totient is φ = 152821401600.

The previous prime is 630655634387. The next prime is 630655634417. The reversal of 630655634400 is 4436556036.

It is a happy number.

It is a congruent number.

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, 98706406 + ... + 98712794.

It is an arithmetic number, because the mean of its divisors is an integer number (7778994300).

Almost surely, 2^630655634400 is an apocalyptic number.

630655634400 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 630655634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120175179200).

630655634400 is an abundant number, since it is smaller than the sum of its proper divisors (1609694724000).

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

630655634400 is a wasteful number, since it uses less digits than its factorization.

630655634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10162 (or 10149 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 630655634400 in words is "six hundred thirty billion, six hundred fifty-five million, six hundred thirty-four thousand, four hundred".