6456922416 has 240 divisors, whose sum is σ = 21391678464. Its totient is φ = 1779895296.

The previous prime is 6456922403. The next prime is 6456922427. The reversal of 6456922416 is 6142296546.

6456922416 is a `hidden beast` number, since 64 + 569 + 2 + 24 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3457515 + ... + 3459381.

Almost surely, 2^6456922416 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 6456922416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10695839232).

6456922416 is an abundant number, since it is smaller than the sum of its proper divisors (14934756048).

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

6456922416 is a wasteful number, since it uses less digits than its factorization.

6456922416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1999 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 6456922416 is about 80354.9775433980. The cubic root of 6456922416 is about 1862.1236790911.

The spelling of 6456922416 in words is "six billion, four hundred fifty-six million, nine hundred twenty-two thousand, four hundred sixteen".