632776320 has 256 divisors, whose sum is σ = 2445552000. Its totient is φ = 153354240.

The previous prime is 632776303. The next prime is 632776321. The reversal of 632776320 is 23677236.

632776320 is a `hidden beast` number, since 6 + 327 + 7 + 6 + 320 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (632776321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188416 + ... + 191744.

Almost surely, 2^632776320 is an apocalyptic number.

632776320 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 632776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222776000).

632776320 is an abundant number, since it is smaller than the sum of its proper divisors (1812775680).

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

632776320 is a wasteful number, since it uses less digits than its factorization.

632776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 632776320 is about 25155.0456171322. The cubic root of 632776320 is about 858.5193198209.

The spelling of 632776320 in words is "six hundred thirty-two million, seven hundred seventy-six thousand, three hundred twenty".