6464903592960 has 528 divisors, whose sum is σ = 23656523304960. Its totient is φ = 1627918663680.

The previous prime is 6464903592947. The next prime is 6464903592967. The reversal of 6464903592960 is 692953094646.

6464903592960 is a `hidden beast` number, since 6 + 4 + 6 + 490 + 3 + 59 + 2 + 96 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6464903592967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272274849 + ... + 272298591.

Almost surely, 2^{6464903592960} is an apocalyptic number.

6464903592960 is a gapful number since it is divisible by the number (60) 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 6464903592960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11828261652480).

6464903592960 is an abundant number, since it is smaller than the sum of its proper divisors (17191619712000).

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

6464903592960 is a wasteful number, since it uses less digits than its factorization.

6464903592960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24104 (or 24083 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 6464903592960 in words is "six trillion, four hundred sixty-four billion, nine hundred three million, five hundred ninety-two thousand, nine hundred sixty".