6480158091264 has 2304 divisors, whose sum is σ = 24665116170240. Its totient is φ = 1671195525120.

The previous prime is 6480158091221. The next prime is 6480158091299. The reversal of 6480158091264 is 4621908510846.

6480158091264 is a `hidden beast` number, since 6 + 48 + 0 + 1 + 580 + 9 + 12 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6480158091264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60562225099 + ... + 60562225205.

It is an arithmetic number, because the mean of its divisors is an integer number (10705345560).

Almost surely, 2^{6480158091264} is an apocalyptic number.

6480158091264 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 6480158091264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12332558085120).

6480158091264 is an abundant number, since it is smaller than the sum of its proper divisors (18184958078976).

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

6480158091264 is a wasteful number, since it uses less digits than its factorization.

6480158091264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 6480158091264 in words is "six trillion, four hundred eighty billion, one hundred fifty-eight million, ninety-one thousand, two hundred sixty-four".