630251646152040 has 192 divisors, whose sum is σ = 2352135330417600. Its totient is φ = 144746789529600.

The previous prime is 630251646151991. The next prime is 630251646152041. The reversal of 630251646152040 is 40251646152036.

630251646152040 is a `hidden beast` number, since 6 + 3 + 0 + 2 + 5 + 1 + 6 + 4 + 615 + 20 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (630251646152041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4188199921 + ... + 4188350400.

It is an arithmetic number, because the mean of its divisors is an integer number (12250704845925).

Almost surely, 2^{630251646152040} is an apocalyptic number.

630251646152040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

630251646152040 is an abundant number, since it is smaller than the sum of its proper divisors (1721883684265560).

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

630251646152040 is a wasteful number, since it uses less digits than its factorization.

630251646152040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8376550368 (or 8376550361 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 630251646152040 in words is "six hundred thirty trillion, two hundred fifty-one billion, six hundred forty-six million, one hundred fifty-two thousand, forty".