6815045160 has 640 divisors, whose sum is σ = 29105049600. Its totient is φ = 1389104640.

The previous prime is 6815045147. The next prime is 6815045179. The reversal of 6815045160 is 615405186.

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 159 ways as a sum of consecutive naturals, for example, 14719089 + ... + 14719551.

It is an arithmetic number, because the mean of its divisors is an integer number (45476640).

Almost surely, 2^6815045160 is an apocalyptic number.

6815045160 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 6815045160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14552524800).

6815045160 is an abundant number, since it is smaller than the sum of its proper divisors (22290004440).

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

6815045160 is a wasteful number, since it uses less digits than its factorization.

6815045160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 6815045160 is about 82553.2867910176. The cubic root of 6815045160 is about 1895.9326806734.

The spelling of 6815045160 in words is "six billion, eight hundred fifteen million, forty-five thousand, one hundred sixty".