632044728000 has 1792 divisors, whose sum is σ = 2852928000000. Its totient is φ = 136559001600.

The previous prime is 632044727987. The next prime is 632044728013. The reversal of 632044728000 is 827440236.

It is an interprime number because it is at equal distance from previous prime (632044727987) and next prime (632044728013).

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

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 255 ways as a sum of consecutive naturals, for example, 1407671776 + ... + 1407672224.

Almost surely, 2^632044728000 is an apocalyptic number.

632044728000 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 632044728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426464000000).

632044728000 is an abundant number, since it is smaller than the sum of its proper divisors (2220883272000).

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

632044728000 is a wasteful number, since it uses less digits than its factorization.

632044728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 632044728000 in words is "six hundred thirty-two billion, forty-four million, seven hundred twenty-eight thousand".