6411744864 has 360 divisors, whose sum is σ = 23098604760. Its totient is φ = 1734856704.

The previous prime is 6411744863. The next prime is 6411744887. The reversal of 6411744864 is 4684471146.

It is a super-2 number, since 2×6411744864² = 82220944402060756992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (516096) is a multiple of the sum of its prime divisors (2688).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6411744863) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2411824 + ... + 2414480.

It is an arithmetic number, because the mean of its divisors is an integer number (64162791).

Almost surely, 2^6411744864 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 6411744864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11549302380).

6411744864 is an abundant number, since it is smaller than the sum of its proper divisors (16686859896).

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

6411744864 is a wasteful number, since it uses less digits than its factorization.

6411744864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2688 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 6411744864 is about 80073.3717536610. The cubic root of 6411744864 is about 1857.7705650325.

The spelling of 6411744864 in words is "six billion, four hundred eleven million, seven hundred forty-four thousand, eight hundred sixty-four".