6870165120 has 1024 divisors, whose sum is σ = 31831833600. Its totient is φ = 1358954496.

The previous prime is 6870165089. The next prime is 6870165131. The reversal of 6870165120 is 215610786.

6870165120 is a `hidden beast` number, since 68 + 70 + 16 + 512 + 0 = 666.

It is a super-2 number, since 2×6870165120² = 94398337552129228800, which contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 26732032 + ... + 26732288.

It is an arithmetic number, because the mean of its divisors is an integer number (31085775).

Almost surely, 2^6870165120 is an apocalyptic number.

6870165120 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 6870165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15915916800).

6870165120 is an abundant number, since it is smaller than the sum of its proper divisors (24961668480).

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

6870165120 is a wasteful number, since it uses less digits than its factorization.

6870165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 304 counting only the distinct ones).

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

The square root of 6870165120 is about 82886.4592077620. The cubic root of 6870165120 is about 1901.0303847883.

The spelling of 6870165120 in words is "six billion, eight hundred seventy million, one hundred sixty-five thousand, one hundred twenty".