6464814760000 has 105 divisors (see below), whose sum is σ = 16031900603521. Its totient is φ = 2585722496000.

The previous prime is 6464814759967. The next prime is 6464814760051. The reversal of 6464814760000 is 674184646.

The square root of 6464814760000 is 2542600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1567764426816 + 4897050333184 = 1252104^2 + 2212928^2 .

It is a super-2 number, since 2×6464814760000² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 508513644 + ... + 508526356.

Almost surely, 2^{6464814760000} is an apocalyptic number.

6464814760000 is the 2542600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6464814760000

6464814760000 is an abundant number, since it is smaller than the sum of its proper divisors (9567085843521).

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

6464814760000 is an frugal number, since it uses more digits than its factorization.

6464814760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25458 (or 12720 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 6464814760000 in words is "six trillion, four hundred sixty-four billion, eight hundred fourteen million, seven hundred sixty thousand".