336688999920 has 2160 divisors, whose sum is σ = 1577534343840. Its totient is φ = 66029064192.

The previous prime is 336688999909. The next prime is 336688999967. The reversal of 336688999920 is 29999886633.

336688999920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×336688999920² (a number of 24 digits) contains 22 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 431 ways as a sum of consecutive naturals, for example, 6352622614 + ... + 6352622666.

It is an arithmetic number, because the mean of its divisors is an integer number (730339974).

Almost surely, 2^336688999920 is an apocalyptic number.

336688999920 is a gapful number since it is divisible by the number (30) 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 336688999920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788767171920).

336688999920 is an abundant number, since it is smaller than the sum of its proper divisors (1240845343920).

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

336688999920 is a wasteful number, since it uses less digits than its factorization.

336688999920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 72.

The spelling of 336688999920 in words is "three hundred thirty-six billion, six hundred eighty-eight million, nine hundred ninety-nine thousand, nine hundred twenty".