6975456696 has 128 divisors (see below), whose sum is σ = 20901384000. Its totient is φ = 2142733824.

The previous prime is 6975456619. The next prime is 6975456713. The reversal of 6975456696 is 6966545796.

6975456696 is a `hidden beast` number, since 6 + 97 + 5 + 456 + 6 + 96 = 666.

It is a super-2 number, since 2×6975456696² = 97313992235542472832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2056570 + ... + 2059958.

Almost surely, 2^6975456696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6975456696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450692000).

6975456696 is an abundant number, since it is smaller than the sum of its proper divisors (13925927304).

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

6975456696 is a wasteful number, since it uses less digits than its factorization.

6975456696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150 (or 4140 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The square root of 6975456696 is about 83519.1995651299. The cubic root of 6975456696 is about 1910.6928670537.

The spelling of 6975456696 in words is "six billion, nine hundred seventy-five million, four hundred fifty-six thousand, six hundred ninety-six".