330049408920336 has 360 divisors, whose sum is σ = 1080562896691200. Its totient is φ = 93767807185920.

The previous prime is 330049408920289. The next prime is 330049408920409. The reversal of 330049408920336 is 633029804940033.

330049408920336 is a `hidden beast` number, since 3 + 30 + 0 + 494 + 0 + 8 + 92 + 0 + 3 + 36 = 666.

It is a super-2 number, since 2×330049408920336² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 949556785 + ... + 949904303.

It is an arithmetic number, because the mean of its divisors is an integer number (3001563601920).

Almost surely, 2^{330049408920336} is an apocalyptic number.

330049408920336 is a gapful number since it is divisible by the number (36) 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 330049408920336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540281448345600).

330049408920336 is an abundant number, since it is smaller than the sum of its proper divisors (750513487770864).

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

330049408920336 is a wasteful number, since it uses less digits than its factorization.

330049408920336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348307 (or 348291 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 330049408920336 in words is "three hundred thirty trillion, forty-nine billion, four hundred eight million, nine hundred twenty thousand, three hundred thirty-six".