6456792056 has 64 divisors (see below), whose sum is σ = 14302915200. Its totient is φ = 2693923200.

The previous prime is 6456792031. The next prime is 6456792061. The reversal of 6456792056 is 6502976546.

It is a junction number, because it is equal to n+sod(n) for n = 6456791995 and 6456792013.

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 15 ways as a sum of consecutive naturals, for example, 189011 + ... + 220541.

It is an arithmetic number, because the mean of its divisors is an integer number (223483050).

Almost surely, 2^6456792056 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 6456792056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7151457600).

6456792056 is an abundant number, since it is smaller than the sum of its proper divisors (7846123144).

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

6456792056 is a wasteful number, since it uses less digits than its factorization.

6456792056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31740 (or 31736 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 50.

The square root of 6456792056 is about 80354.1663885576. The cubic root of 6456792056 is about 1862.1111474204. Note that the first 4 decimals are identical.

The spelling of 6456792056 in words is "six billion, four hundred fifty-six million, seven hundred ninety-two thousand, fifty-six".