6460776960 has 320 divisors, whose sum is σ = 23268225024. Its totient is φ = 1515110400.

The previous prime is 6460776953. The next prime is 6460776983. The reversal of 6460776960 is 696770646.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2617647 + ... + 2620113.

Almost surely, 2^6460776960 is an apocalyptic number.

6460776960 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 6460776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11634112512).

6460776960 is an abundant number, since it is smaller than the sum of its proper divisors (16807448064).

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

6460776960 is a wasteful number, since it uses less digits than its factorization.

6460776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The square root of 6460776960 is about 80378.9584406267. The cubic root of 6460776960 is about 1862.4941450501.

The spelling of 6460776960 in words is "six billion, four hundred sixty million, seven hundred seventy-six thousand, nine hundred sixty".