6059302913664 has 3456 divisors, whose sum is σ = 26341015377600. Its totient is φ = 1357298933760.

The previous prime is 6059302913639. The next prime is 6059302913803. The reversal of 6059302913664 is 4663192039506.

6059302913664 is a `hidden beast` number, since 605 + 9 + 3 + 0 + 29 + 1 + 3 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6059302913664.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 140914021227 + ... + 140914021269.

Almost surely, 2^{6059302913664} is an apocalyptic number.

6059302913664 is a gapful number since it is divisible by the number (64) 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 6059302913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13170507688800).

6059302913664 is an abundant number, since it is smaller than the sum of its proper divisors (20281712463936).

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

6059302913664 is a wasteful number, since it uses less digits than its factorization.

6059302913664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 6059302913664 in words is "six trillion, fifty-nine billion, three hundred two million, nine hundred thirteen thousand, six hundred sixty-four".