334491969960 has 128 divisors (see below), whose sum is σ = 1118133072000. Its totient is φ = 88945072128.

The previous prime is 334491969943. The next prime is 334491970003. The reversal of 334491969960 is 69969194433.

334491969960 is a `hidden beast` number, since 33 + 449 + 19 + 6 + 99 + 60 = 666.

It is a super-2 number, since 2×334491969960² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57450 + ... + 819929.

It is an arithmetic number, because the mean of its divisors is an integer number (8735414625).

Almost surely, 2^334491969960 is an apocalyptic number.

334491969960 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 334491969960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559066536000).

334491969960 is an abundant number, since it is smaller than the sum of its proper divisors (783641102040).

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

334491969960 is a wasteful number, since it uses less digits than its factorization.

334491969960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877752 (or 877742 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 63.

The spelling of 334491969960 in words is "three hundred thirty-four billion, four hundred ninety-one million, nine hundred sixty-nine thousand, nine hundred sixty".