6657875840 has 256 divisors, whose sum is σ = 19987430400. Its totient is φ = 2060206080.

The previous prime is 6657875839. The next prime is 6657875857. The reversal of 6657875840 is 485787566.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8229356 + ... + 8230164.

It is an arithmetic number, because the mean of its divisors is an integer number (78075900).

Almost surely, 2^6657875840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6657875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9993715200).

6657875840 is an abundant number, since it is smaller than the sum of its proper divisors (13329554560).

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

6657875840 is a wasteful number, since it uses less digits than its factorization.

6657875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 56.

The square root of 6657875840 is about 81595.8077354468. The cubic root of 6657875840 is about 1881.2444454239.

The spelling of 6657875840 in words is "six billion, six hundred fifty-seven million, eight hundred seventy-five thousand, eight hundred forty".