632005376800 has 288 divisors, whose sum is σ = 1822159124352. Its totient is φ = 209526497280.

The previous prime is 632005376749. The next prime is 632005376809. The reversal of 632005376800 is 8673500236.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (632005376809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33764244 + ... + 33782956.

It is an arithmetic number, because the mean of its divisors is an integer number (6326941404).

Almost surely, 2^632005376800 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 632005376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911079562176).

632005376800 is an abundant number, since it is smaller than the sum of its proper divisors (1190153747552).

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

632005376800 is a wasteful number, since it uses less digits than its factorization.

632005376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18940 (or 18927 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 632005376800 in words is "six hundred thirty-two billion, five million, three hundred seventy-six thousand, eight hundred".