6460047360 has 384 divisors, whose sum is σ = 24188706360. Its totient is φ = 1585446912.

The previous prime is 6460047359. The next prime is 6460047397. The reversal of 6460047360 is 637400646.

6460047360 is a `hidden beast` number, since 6 + 4 + 600 + 47 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3273670656 + 3186376704 = 57216^2 + 56448^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19169112 + ... + 19169448.

Almost surely, 2^6460047360 is an apocalyptic number.

6460047360 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 6460047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12094353180).

6460047360 is an abundant number, since it is smaller than the sum of its proper divisors (17728659000).

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

6460047360 is a wasteful number, since it uses less digits than its factorization.

6460047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 6460047360 is about 80374.4198112808. The cubic root of 6460047360 is about 1862.4240334164.

The spelling of 6460047360 in words is "six billion, four hundred sixty million, forty-seven thousand, three hundred sixty".