6975748864 has 144 divisors (see below), whose sum is σ = 16317987840. Its totient is φ = 2914652160.

The previous prime is 6975748853. The next prime is 6975748891. The reversal of 6975748864 is 4688475796.

It is a super-2 number, since 2×6975748864² = 97322144427194580992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 6975748796 and 6975748805.

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 15 ways as a sum of consecutive naturals, for example, 13868037 + ... + 13868539.

It is an arithmetic number, because the mean of its divisors is an integer number (113319360).

Almost surely, 2^6975748864 is an apocalyptic number.

6975748864 is a gapful number since it is divisible by the number (64) 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 6975748864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158993920).

6975748864 is an abundant number, since it is smaller than the sum of its proper divisors (9342238976).

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

6975748864 is a wasteful number, since it uses less digits than its factorization.

6975748864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 692 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 64.

The square root of 6975748864 is about 83520.9486536162. The cubic root of 6975748864 is about 1910.7195432292.

The spelling of 6975748864 in words is "six billion, nine hundred seventy-five million, seven hundred forty-eight thousand, eight hundred sixty-four".