632978256768 has 768 divisors, whose sum is σ = 2153656200960. Its totient is φ = 162632171520.

The previous prime is 632978256721. The next prime is 632978256797. The reversal of 632978256768 is 867652879236.

It is a super-2 number, since 2×632978256768² (a number of 24 digits) contains 22 as substring.

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, 521828130 + ... + 521829342.

It is an arithmetic number, because the mean of its divisors is an integer number (2804239845).

Almost surely, 2^632978256768 is an apocalyptic number.

632978256768 is a gapful number since it is divisible by the number (68) 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 632978256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076828100480).

632978256768 is an abundant number, since it is smaller than the sum of its proper divisors (1520677944192).

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

632978256768 is a wasteful number, since it uses less digits than its factorization.

632978256768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1302 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 69.

The spelling of 632978256768 in words is "six hundred thirty-two billion, nine hundred seventy-eight million, two hundred fifty-six thousand, seven hundred sixty-eight".