632311680 has 768 divisors, whose sum is σ = 2813045760. Its totient is φ = 118702080.

The previous prime is 632311661. The next prime is 632311703. The reversal of 632311680 is 86113236.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13453417 + ... + 13453463.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2^632311680 is an apocalyptic number.

632311680 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 632311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406522880).

632311680 is an abundant number, since it is smaller than the sum of its proper divisors (2180734080).

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

632311680 is a wasteful number, since it uses less digits than its factorization.

632311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 632311680 is about 25145.8083982202. The cubic root of 632311680 is about 858.3091349155.

The spelling of 632311680 in words is "six hundred thirty-two million, three hundred eleven thousand, six hundred eighty".