339897055680 has 1792 divisors, whose sum is σ = 1583165337600. Its totient is φ = 66647162880.

The previous prime is 339897055669. The next prime is 339897055697. The reversal of 339897055680 is 86550798933.

339897055680 is a `hidden beast` number, since 3 + 3 + 9 + 8 + 9 + 70 + 556 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 255 ways as a sum of consecutive naturals, for example, 911251974 + ... + 911252346.

It is an arithmetic number, because the mean of its divisors is an integer number (883462800).

Almost surely, 2^339897055680 is an apocalyptic number.

339897055680 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 339897055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791582668800).

339897055680 is an abundant number, since it is smaller than the sum of its proper divisors (1243268281920).

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

339897055680 is a wasteful number, since it uses less digits than its factorization.

339897055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 339897055680 in words is "three hundred thirty-nine billion, eight hundred ninety-seven million, fifty-five thousand, six hundred eighty".