633879978336 has 72 divisors (see below), whose sum is σ = 1966468578984. Its totient is φ = 192084840960.

The previous prime is 633879978307. The next prime is 633879978353.

It is a happy number.

633879978336 is a `hidden beast` number, since 63 + 3 + 87 + 99 + 78 + 336 = 666.

633879978336 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×633879978336³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100041021 + ... + 100047356.

It is an arithmetic number, because the mean of its divisors is an integer number (27312063597).

Almost surely, 2^633879978336 is an apocalyptic number.

633879978336 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

633879978336 is an abundant number, since it is smaller than the sum of its proper divisors (1332588600648).

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

633879978336 is a wasteful number, since it uses less digits than its factorization.

633879978336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200088404 (or 200088393 counting only the distinct ones).

The product of its digits is 740710656, while the sum is 72.

The spelling of 633879978336 in words is "six hundred thirty-three billion, eight hundred seventy-nine million, nine hundred seventy-eight thousand, three hundred thirty-six".