68393024593920 has 2240 divisors, whose sum is σ = 287249493506976. Its totient is φ = 15410543984640.

The previous prime is 68393024593913. The next prime is 68393024593991. The reversal of 68393024593920 is 2939542039386.

68393024593920 is a `hidden beast` number, since 6 + 8 + 3 + 9 + 30 + 2 + 4 + 593 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1031215878144 + 67361808715776 = 1015488^2 + 8207424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27129322260 + ... + 27129324780.

Almost surely, 2^{68393024593920} is an apocalyptic number.

68393024593920 is a gapful number since it is divisible by the number (60) 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 68393024593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143624746753488).

68393024593920 is an abundant number, since it is smaller than the sum of its proper divisors (218856468913056).

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

68393024593920 is a wasteful number, since it uses less digits than its factorization.

68393024593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 68393024593920 in words is "sixty-eight trillion, three hundred ninety-three billion, twenty-four million, five hundred ninety-three thousand, nine hundred twenty".