630623574873600 has 960 divisors, whose sum is σ = 2618734750106112. Its totient is φ = 131038590566400.

The previous prime is 630623574873577. The next prime is 630623574873623. The reversal of 630623574873600 is 6378475326036.

It is an interprime number because it is at equal distance from previous prime (630623574873577) and next prime (630623574873623).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356891482 + ... + 358654118.

Almost surely, 2^{630623574873600} is an apocalyptic number.

630623574873600 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 630623574873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309367375053056).

630623574873600 is an abundant number, since it is smaller than the sum of its proper divisors (1988111175232512).

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

630623574873600 is a wasteful number, since it uses less digits than its factorization.

630623574873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762708 (or 1762665 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 60.

The spelling of 630623574873600 in words is "six hundred thirty trillion, six hundred twenty-three billion, five hundred seventy-four million, eight hundred seventy-three thousand, six hundred".