3630627692160 has 1024 divisors, whose sum is σ = 14067597680640. Its totient is φ = 778567680000.

The previous prime is 3630627692141. The next prime is 3630627692173. The reversal of 3630627692160 is 612967260363.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5664005440 + ... + 5664006080.

It is an arithmetic number, because the mean of its divisors is an integer number (13737888360).

Almost surely, 2^{3630627692160} is an apocalyptic number.

3630627692160 is a gapful number since it is divisible by the number (30) 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 3630627692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033798840320).

3630627692160 is an abundant number, since it is smaller than the sum of its proper divisors (10436969988480).

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

3630627692160 is a wasteful number, since it uses less digits than its factorization.

3630627692160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 51.

The spelling of 3630627692160 in words is "three trillion, six hundred thirty billion, six hundred twenty-seven million, six hundred ninety-two thousand, one hundred sixty".