6797590913961 has 45 divisors (see below), whose sum is σ = 10397610580071. Its totient is φ = 4425681250368.

The previous prime is 6797590913879. The next prime is 6797590913977. The reversal of 6797590913961 is 1693190957976.

The square root of 6797590913961 is 2607219.

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

6797590913961 is a `hidden beast` number, since 67 + 9 + 7 + 5 + 90 + 91 + 396 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3472278194025 + 3325312719936 = 1863405^2 + 1823544^2 .

It is not a de Polignac number, because 6797590913961 - 2³⁷ = 6660151960489 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6797590913961.

It is not an unprimeable number, because it can be changed into a prime (6797590912961) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1008990385 + ... + 1008997121.

Almost surely, 2^{6797590913961} is an apocalyptic number.

6797590913961 is the 2607219-th square number.

6797590913961 is the 1303610-th centered octagonal number.

It is an amenable number.

6797590913961 is a deficient number, since it is larger than the sum of its proper divisors (3600019666110).

6797590913961 is an frugal number, since it uses more digits than its factorization.

6797590913961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13572 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 173604060, while the sum is 72.

The spelling of 6797590913961 in words is "six trillion, seven hundred ninety-seven billion, five hundred ninety million, nine hundred thirteen thousand, nine hundred sixty-one".