632772000 has 672 divisors, whose sum is σ = 2749953024. Its totient is φ = 139968000.

The previous prime is 632771989. The next prime is 632772013. The reversal of 632772000 is 277236.

632772000 is a `hidden beast` number, since 632 + 7 + 7 + 20 + 0 + 0 = 666.

632772000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20411985 + ... + 20412015.

It is an arithmetic number, because the mean of its divisors is an integer number (4092192).

Almost surely, 2^632772000 is an apocalyptic number.

632772000 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 632772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374976512).

632772000 is an abundant number, since it is smaller than the sum of its proper divisors (2117181024).

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

632772000 is an equidigital number, since it uses as much as digits as its factorization.

632772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 632772000 is about 25154.9597495206. The cubic root of 632772000 is about 858.5173660964.

The spelling of 632772000 in words is "six hundred thirty-two million, seven hundred seventy-two thousand".