6879252240 has 640 divisors, whose sum is σ = 28288189440. Its totient is φ = 1522851840.

The previous prime is 6879252221. The next prime is 6879252251. The reversal of 6879252240 is 422529786.

6879252240 is a `hidden beast` number, since 6 + 87 + 9 + 2 + 522 + 40 = 666.

It is a super-2 number, since 2×6879252240² = 94648222763090035200, which contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 50213452 + ... + 50213588.

It is an arithmetic number, because the mean of its divisors is an integer number (44200296).

Almost surely, 2^6879252240 is an apocalyptic number.

6879252240 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 6879252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14144094720).

6879252240 is an abundant number, since it is smaller than the sum of its proper divisors (21408937200).

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

6879252240 is a wasteful number, since it uses less digits than its factorization.

6879252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6879252240 is about 82941.2577671692. The cubic root of 6879252240 is about 1901.8681754411.

The spelling of 6879252240 in words is "six billion, eight hundred seventy-nine million, two hundred fifty-two thousand, two hundred forty".