6504032614464 has 1120 divisors, whose sum is σ = 25655157817344. Its totient is φ = 1577256468480.

The previous prime is 6504032614441. The next prime is 6504032614517. The reversal of 6504032614464 is 4644162304056.

6504032614464 is a `hidden beast` number, since 65 + 0 + 40 + 32 + 61 + 4 + 464 = 666.

It is a super-2 number, since 2×6504032614464² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 861799939 + ... + 861807485.

Almost surely, 2^{6504032614464} is an apocalyptic number.

6504032614464 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 6504032614464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12827578908672).

6504032614464 is an abundant number, since it is smaller than the sum of its proper divisors (19151125202880).

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

6504032614464 is a wasteful number, since it uses less digits than its factorization.

6504032614464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7733 (or 7714 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 6504032614464 in words is "six trillion, five hundred four billion, thirty-two million, six hundred fourteen thousand, four hundred sixty-four".