6817995256464 has 840 divisors, whose sum is σ = 24108943928832. Its totient is φ = 1858047206400.

The previous prime is 6817995256453. The next prime is 6817995256489. The reversal of 6817995256464 is 4646525997186.

6817995256464 is a `hidden beast` number, since 6 + 8 + 1 + 7 + 9 + 9 + 52 + 564 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6817995256392 and 6817995256401.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 7900341697 + ... + 7900342559.

Almost surely, 2^{6817995256464} 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 6817995256464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12054471964416).

6817995256464 is an abundant number, since it is smaller than the sum of its proper divisors (17290948672368).

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

6817995256464 is a wasteful number, since it uses less digits than its factorization.

6817995256464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1499 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 6817995256464 in words is "six trillion, eight hundred seventeen billion, nine hundred ninety-five million, two hundred fifty-six thousand, four hundred sixty-four".