6657826560 has 864 divisors, whose sum is σ = 28185615360. Its totient is φ = 1308426240.

The previous prime is 6657826559. The next prime is 6657826589. The reversal of 6657826560 is 656287566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74806996 + ... + 74807084.

It is an arithmetic number, because the mean of its divisors is an integer number (32622240).

Almost surely, 2^6657826560 is an apocalyptic number.

6657826560 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 6657826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092807680).

6657826560 is an abundant number, since it is smaller than the sum of its proper divisors (21527788800).

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

6657826560 is a wasteful number, since it uses less digits than its factorization.

6657826560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The square root of 6657826560 is about 81595.5057585894. The cubic root of 6657826560 is about 1881.2398039057.

The spelling of 6657826560 in words is "six billion, six hundred fifty-seven million, eight hundred twenty-six thousand, five hundred sixty".