6456796416 has 180 divisors, whose sum is σ = 22003921632. Its totient is φ = 1844757504.

The previous prime is 6456796403. The next prime is 6456796421. The reversal of 6456796416 is 6146976546.

6456796416 is a `hidden beast` number, since 6 + 4 + 567 + 9 + 64 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122911 + ... + 167393.

Almost surely, 2^6456796416 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 6456796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11001960816).

6456796416 is an abundant number, since it is smaller than the sum of its proper divisors (15547125216).

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

6456796416 is an equidigital number, since it uses as much as digits as its factorization.

6456796416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44518 (or 44495 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 6456796416 is about 80354.1935184468. The cubic root of 6456796416 is about 1862.1115665554. Note that the first 3 decimals are identical.

The spelling of 6456796416 in words is "six billion, four hundred fifty-six million, seven hundred ninety-six thousand, four hundred sixteen".