6457007160 has 48 divisors (see below), whose sum is σ = 20985274440. Its totient is φ = 1721868480.

The previous prime is 6457007149. The next prime is 6457007203. The reversal of 6457007160 is 617007546.

6457007160 is a `hidden beast` number, since 645 + 7 + 0 + 0 + 7 + 1 + 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 11 ways as a sum of consecutive naturals, for example, 8967706 + ... + 8968425.

Almost surely, 2^6457007160 is an apocalyptic number.

6457007160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6457007160 is an abundant number, since it is smaller than the sum of its proper divisors (14528267280).

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

6457007160 is a wasteful number, since it uses less digits than its factorization.

6457007160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17936148 (or 17936141 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 6457007160 is about 80355.5048518768. The cubic root of 6457007160 is about 1862.1318255479.

The spelling of 6457007160 in words is "six billion, four hundred fifty-seven million, seven thousand, one hundred sixty".