336638090880000 has 7040 divisors, whose sum is σ = 1663064548992000. Its totient is φ = 66588770304000.

The previous prime is 336638090879977. The next prime is 336638090880029. The reversal of 336638090880000 is 88090836633.

It is a super-2 number, since 2×336638090880000² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1309875839872 + ... + 1309875840128.

It is an arithmetic number, because the mean of its divisors is an integer number (236230759800).

Almost surely, 2^{336638090880000} is an apocalyptic number.

336638090880000 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 336638090880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831532274496000).

336638090880000 is an abundant number, since it is smaller than the sum of its proper divisors (1326426458112000).

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

336638090880000 is a wasteful number, since it uses less digits than its factorization.

336638090880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 304 counting only the distinct ones).

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

The spelling of 336638090880000 in words is "three hundred thirty-six trillion, six hundred thirty-eight billion, ninety million, eight hundred eighty thousand".