6715820160 has 768 divisors, whose sum is σ = 28514304000. Its totient is φ = 1478062080.

The previous prime is 6715820159. The next prime is 6715820171. The reversal of 6715820160 is 610285176.

6715820160 is a `hidden beast` number, since 6 + 71 + 582 + 0 + 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 95 ways as a sum of consecutive naturals, for example, 33747741 + ... + 33747939.

It is an arithmetic number, because the mean of its divisors is an integer number (37128000).

Almost surely, 2^6715820160 is an apocalyptic number.

6715820160 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 6715820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14257152000).

6715820160 is an abundant number, since it is smaller than the sum of its proper divisors (21798483840).

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

6715820160 is a wasteful number, since it uses less digits than its factorization.

6715820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 6715820160 is about 81950.1077485564. The cubic root of 6715820160 is about 1886.6862568911.

The spelling of 6715820160 in words is "six billion, seven hundred fifteen million, eight hundred twenty thousand, one hundred sixty".