633268113984 has 560 divisors, whose sum is σ = 2214042937920. Its totient is φ = 176874762240.

The previous prime is 633268113977. The next prime is 633268113997. The reversal of 633268113984 is 489311862336.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 633268113984.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40079974 + ... + 40095770.

Almost surely, 2^633268113984 is an apocalyptic number.

633268113984 is a gapful number since it is divisible by the number (64) 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 633268113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107021468960).

633268113984 is an abundant number, since it is smaller than the sum of its proper divisors (1580774823936).

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

633268113984 is a wasteful number, since it uses less digits than its factorization.

633268113984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15888 (or 15869 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 633268113984 in words is "six hundred thirty-three billion, two hundred sixty-eight million, one hundred thirteen thousand, nine hundred eighty-four".