6870579840 has 256 divisors, whose sum is σ = 24590160000. Its totient is φ = 1812824064.

The previous prime is 6870579827. The next prime is 6870579871. The reversal of 6870579840 is 489750786.

6870579840 is a `hidden beast` number, since 68 + 7 + 0 + 579 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1674111 + ... + 1678209.

Almost surely, 2^6870579840 is an apocalyptic number.

6870579840 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 6870579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12295080000).

6870579840 is an abundant number, since it is smaller than the sum of its proper divisors (17719580160).

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

6870579840 is a wasteful number, since it uses less digits than its factorization.

6870579840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 6870579840 is about 82888.9609055392. The cubic root of 6870579840 is about 1901.0686361473.

The spelling of 6870579840 in words is "six billion, eight hundred seventy million, five hundred seventy-nine thousand, eight hundred forty".