6459070464 has 768 divisors, whose sum is σ = 25096780800. Its totient is φ = 1592524800.

The previous prime is 6459070447. The next prime is 6459070469. The reversal of 6459070464 is 4640709546.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6459070469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157538284 + ... + 157538324.

It is an arithmetic number, because the mean of its divisors is an integer number (32678100).

Almost surely, 2^6459070464 is an apocalyptic number.

6459070464 is a gapful number since it is divisible by the number (64) 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 6459070464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12548390400).

6459070464 is an abundant number, since it is smaller than the sum of its proper divisors (18637710336).

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

6459070464 is a wasteful number, since it uses less digits than its factorization.

6459070464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6459070464 is about 80368.3424241162. The cubic root of 6459070464 is about 1862.3301493624.

The spelling of 6459070464 in words is "six billion, four hundred fifty-nine million, seventy thousand, four hundred sixty-four".