339966956160 has 768 divisors, whose sum is σ = 1291163328000. Its totient is φ = 81924784128.

The previous prime is 339966956117. The next prime is 339966956191. The reversal of 339966956160 is 61659669933.

339966956160 is a `hidden beast` number, since 3 + 3 + 9 + 9 + 6 + 6 + 9 + 5 + 616 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 926340297 + ... + 926340663.

It is an arithmetic number, because the mean of its divisors is an integer number (1681202250).

Almost surely, 2^339966956160 is an apocalyptic number.

339966956160 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 339966956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645581664000).

339966956160 is an abundant number, since it is smaller than the sum of its proper divisors (951196371840).

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

339966956160 is a wasteful number, since it uses less digits than its factorization.

339966956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 42515280, while the sum is 63.

The spelling of 339966956160 in words is "three hundred thirty-nine billion, nine hundred sixty-six million, nine hundred fifty-six thousand, one hundred sixty".