634116712320 has 2048 divisors, whose sum is σ = 2931489792000. Its totient is φ = 125894393856.

The previous prime is 634116712301. The next prime is 634116712349. The reversal of 634116712320 is 23217611436.

634116712320 is a `hidden beast` number, since 6 + 3 + 411 + 6 + 7 + 1 + 232 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3218866462 + ... + 3218866658.

It is an arithmetic number, because the mean of its divisors is an integer number (1431391500).

Almost surely, 2^634116712320 is an apocalyptic number.

634116712320 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 634116712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465744896000).

634116712320 is an abundant number, since it is smaller than the sum of its proper divisors (2297373079680).

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

634116712320 is a wasteful number, since it uses less digits than its factorization.

634116712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 634116712320 in words is "six hundred thirty-four billion, one hundred sixteen million, seven hundred twelve thousand, three hundred twenty".