6868957593600 has 1122 divisors, whose sum is σ = 25912072956456. Its totient is φ = 1805923123200.

The previous prime is 6868957593577. The next prime is 6868957593601. The reversal of 6868957593600 is 63957598686.

6868957593600 is a `hidden beast` number, since 6 + 8 + 6 + 8 + 9 + 5 + 7 + 5 + 9 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6868957593601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 96745881565 + ... + 96745881635.

Almost surely, 2^{6868957593600} is an apocalyptic number.

6868957593600 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 6868957593600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12956036478228).

6868957593600 is an abundant number, since it is smaller than the sum of its proper divisors (19043115362856).

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

6868957593600 is an frugal number, since it uses more digits than its factorization.

6868957593600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 6868957593600 in words is "six trillion, eight hundred sixty-eight billion, nine hundred fifty-seven million, five hundred ninety-three thousand, six hundred".