630972415180800 has 12288 divisors, whose sum is σ = 3415091134464000. Its totient is φ = 110075314176000.

The previous prime is 630972415180787. The next prime is 630972415180871. The reversal of 630972415180800 is 8081514279036.

630972415180800 is a `hidden beast` number, since 6 + 3 + 0 + 9 + 7 + 2 + 41 + 518 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (12288).

It is a super-4 number, since 4×630972415180800⁴ (a number of 60 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 767 ways as a sum of consecutive naturals, for example, 17053308518382 + ... + 17053308518418.

It is an arithmetic number, because the mean of its divisors is an integer number (277920828000).

It is a 1-persistent number, because it is pandigital, but 2⋅630972415180800 = 1261944830361600 is not.

Almost surely, 2^{630972415180800} is an apocalyptic number.

630972415180800 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 630972415180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707545567232000).

630972415180800 is an abundant number, since it is smaller than the sum of its proper divisors (2784118719283200).

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

630972415180800 is a wasteful number, since it uses less digits than its factorization.

630972415180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 630972415180800 in words is "six hundred thirty trillion, nine hundred seventy-two billion, four hundred fifteen million, one hundred eighty thousand, eight hundred".