6795665976 has 128 divisors (see below), whose sum is σ = 19104284160. Its totient is φ = 1996300800.

The previous prime is 6795665971. The next prime is 6795665977.

6795665976 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6795665971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3036730 + ... + 3038966.

It is an arithmetic number, because the mean of its divisors is an integer number (149252220).

Almost surely, 2^6795665976 is an apocalyptic number.

6795665976 is a gapful number since it is divisible by the number (66) 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 6795665976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9552142080).

6795665976 is an abundant number, since it is smaller than the sum of its proper divisors (12308618184).

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

6795665976 is a wasteful number, since it uses less digits than its factorization.

6795665976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2601 counting only the distinct ones).

The product of its digits is 128595600, while the sum is 66.

The square root of 6795665976 is about 82435.8294432706. The cubic root of 6795665976 is about 1894.1338904696.

The spelling of 6795665976 in words is "six billion, seven hundred ninety-five million, six hundred sixty-five thousand, nine hundred seventy-six".