6915807360 has 768 divisors, whose sum is σ = 30795448320. Its totient is φ = 1387929600.

The previous prime is 6915807317. The next prime is 6915807373. The reversal of 6915807360 is 637085196.

It is a happy number.

6915807360 is a `hidden beast` number, since 6 + 9 + 1 + 580 + 7 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13748869 + ... + 13749371.

It is an arithmetic number, because the mean of its divisors is an integer number (40098240).

Almost surely, 2^6915807360 is an apocalyptic number.

6915807360 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 6915807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397724160).

6915807360 is an abundant number, since it is smaller than the sum of its proper divisors (23879640960).

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

6915807360 is a wasteful number, since it uses less digits than its factorization.

6915807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 6915807360 is about 83161.3333226446. Note that the first 4 decimals coincide. The cubic root of 6915807360 is about 1905.2309555273.

The spelling of 6915807360 in words is "six billion, nine hundred fifteen million, eight hundred seven thousand, three hundred sixty".