6868592640000 has 3375 divisors, whose sum is σ = 32299740319077. Its totient is φ = 1449197568000.

The previous prime is 6868592639989. The next prime is 6868592640017. The reversal of 6868592640000 is 462958686.

It is a happy number.

The square root of 6868592640000 is 2620800.

It is a perfect power (a square), and thus also a powerful number.

6868592640000 is a `hidden beast` number, since 6 + 8 + 6 + 8 + 592 + 6 + 40 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 6784316227584 + 84276412416 = 2604672^2 + 290304^2 .

It is a tau number, because it is divible by the number of its divisors (3375).

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

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 528353279994 + ... + 528353280006.

Almost surely, 2^{6868592640000} is an apocalyptic number.

6868592640000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6868592640000 is the 2620800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6868592640000

6868592640000 is an abundant number, since it is smaller than the sum of its proper divisors (25431147679077).

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

6868592640000 is an frugal number, since it uses more digits than its factorization.

6868592640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 6868592640000 in words is "six trillion, eight hundred sixty-eight billion, five hundred ninety-two million, six hundred forty thousand".