6971940864 has 560 divisors, whose sum is σ = 25373990400. Its totient is φ = 1863254016.

The previous prime is 6971940841. The next prime is 6971940881. The reversal of 6971940864 is 4680491796.

It is a super-2 number, since 2×6971940864² = 97215918822226132992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6971940864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88252377 + ... + 88252455.

Almost surely, 2^6971940864 is an apocalyptic number.

6971940864 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 6971940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12686995200).

6971940864 is an abundant number, since it is smaller than the sum of its proper divisors (18402049536).

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

6971940864 is an equidigital number, since it uses as much as digits as its factorization.

6971940864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 6971940864 is about 83498.1488657084. The cubic root of 6971940864 is about 1910.3717982756.

The spelling of 6971940864 in words is "six billion, nine hundred seventy-one million, nine hundred forty thousand, eight hundred sixty-four".