6956894464 has 81 divisors (see below), whose sum is σ = 15074576139. Its totient is φ = 3202867200.

The previous prime is 6956894437. The next prime is 6956894471. The reversal of 6956894464 is 4644986596.

The square root of 6956894464 is 83408.

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

It can be written as a sum of positive squares in 4 ways, for example, as 587577600 + 6369316864 = 24240^2 + 79808^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17348664 + ... + 17349064.

Almost surely, 2^6956894464 is an apocalyptic number.

6956894464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6956894464 is the 83408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6956894464

6956894464 is an abundant number, since it is smaller than the sum of its proper divisors (8117681675).

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

6956894464 is an frugal number, since it uses more digits than its factorization.

6956894464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 416 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 61.

The cubic root of 6956894464 is about 1908.9965274294.

The spelling of 6956894464 in words is "six billion, nine hundred fifty-six million, eight hundred ninety-four thousand, four hundred sixty-four".