6657869504 has 168 divisors, whose sum is σ = 16059479184. Its totient is φ = 2699827200.

The previous prime is 6657869497. The next prime is 6657869513. The reversal of 6657869504 is 4059687566.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6657869504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8794694 + ... + 8795450.

It is an arithmetic number, because the mean of its divisors is an integer number (95592138).

Almost surely, 2^6657869504 is an apocalyptic number.

6657869504 is a gapful number since it is divisible by the number (64) 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 6657869504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8029739592).

6657869504 is an abundant number, since it is smaller than the sum of its proper divisors (9401609680).

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

6657869504 is a wasteful number, since it uses less digits than its factorization.

6657869504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 56.

The square root of 6657869504 is about 81595.7689099135. The cubic root of 6657869504 is about 1881.2438486585.

The spelling of 6657869504 in words is "six billion, six hundred fifty-seven million, eight hundred sixty-nine thousand, five hundred four".