632083714752 has 224 divisors, whose sum is σ = 1977038464000. Its totient is φ = 178120083456.

The previous prime is 632083714733. The next prime is 632083714783. The reversal of 632083714752 is 257417380236.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4741749 + ... + 4873227.

Almost surely, 2^632083714752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632083714752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988519232000).

632083714752 is an abundant number, since it is smaller than the sum of its proper divisors (1344954749248).

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

632083714752 is a wasteful number, since it uses less digits than its factorization.

632083714752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131588 (or 131564 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 632083714752 in words is "six hundred thirty-two billion, eighty-three million, seven hundred fourteen thousand, seven hundred fifty-two".