630165916800 has 3072 divisors, whose sum is σ = 3011235840000. Its totient is φ = 125411328000.

The previous prime is 630165916789. The next prime is 630165916811. The reversal of 630165916800 is 8619561036.

630165916800 is a `hidden beast` number, since 630 + 1 + 6 + 5 + 9 + 1 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (630165916789) and next prime (630165916811).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10330588770 + ... + 10330588830.

It is an arithmetic number, because the mean of its divisors is an integer number (980220000).

Almost surely, 2^630165916800 is an apocalyptic number.

630165916800 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 630165916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505617920000).

630165916800 is an abundant number, since it is smaller than the sum of its proper divisors (2381069923200).

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

630165916800 is a wasteful number, since it uses less digits than its factorization.

630165916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 630165916800 in words is "six hundred thirty billion, one hundred sixty-five million, nine hundred sixteen thousand, eight hundred".