632440626120 has 192 divisors, whose sum is σ = 2122996861440. Its totient is φ = 163113523200.

The previous prime is 632440626113. The next prime is 632440626131. The reversal of 632440626120 is 21626044236.

632440626120 is a `hidden beast` number, since 6 + 3 + 2 + 4 + 4 + 0 + 626 + 1 + 20 = 666.

It is a super-2 number, since 2×632440626120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19815375 + ... + 19847265.

It is an arithmetic number, because the mean of its divisors is an integer number (11057275320).

Almost surely, 2^632440626120 is an apocalyptic number.

632440626120 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 632440626120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061498430720).

632440626120 is an abundant number, since it is smaller than the sum of its proper divisors (1490556235320).

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

632440626120 is a wasteful number, since it uses less digits than its factorization.

632440626120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33716 (or 33709 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 632440626120 in words is "six hundred thirty-two billion, four hundred forty million, six hundred twenty-six thousand, one hundred twenty".