6456737664 has 256 divisors, whose sum is σ = 20691720000. Its totient is φ = 1970307072.

The previous prime is 6456737647. The next prime is 6456737711. The reversal of 6456737664 is 4667376546.

6456737664 is a `hidden beast` number, since 6 + 4 + 567 + 3 + 76 + 6 + 4 = 666.

It is a super-2 number, since 2×6456737664² = 83378922523432353792, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6456737664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6154612 + ... + 6155660.

Almost surely, 2^6456737664 is an apocalyptic number.

6456737664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6456737664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10345860000).

6456737664 is an abundant number, since it is smaller than the sum of its proper divisors (14234982336).

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

6456737664 is a wasteful number, since it uses less digits than its factorization.

6456737664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1204 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 54.

The square root of 6456737664 is about 80353.8279361973. The cubic root of 6456737664 is about 1862.1059185991.

The spelling of 6456737664 in words is "six billion, four hundred fifty-six million, seven hundred thirty-seven thousand, six hundred sixty-four".