6404720760 has 512 divisors, whose sum is σ = 24447744000. Its totient is φ = 1481711616.

The previous prime is 6404720759. The next prime is 6404720779. The reversal of 6404720760 is 670274046.

6404720760 is a `hidden beast` number, since 640 + 4 + 7 + 2 + 0 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12245859 + ... + 12246381.

It is an arithmetic number, because the mean of its divisors is an integer number (47749500).

Almost surely, 2^6404720760 is an apocalyptic number.

6404720760 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 6404720760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12223872000).

6404720760 is an abundant number, since it is smaller than the sum of its proper divisors (18043023240).

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

6404720760 is a wasteful number, since it uses less digits than its factorization.

6404720760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 6404720760 is about 80029.4993111915. The cubic root of 6404720760 is about 1857.0919176448.

The spelling of 6404720760 in words is "six billion, four hundred four million, seven hundred twenty thousand, seven hundred sixty".