6557606496 has 432 divisors, whose sum is σ = 23487150960. Its totient is φ = 1724405760.

The previous prime is 6557606479. The next prime is 6557606509. The reversal of 6557606496 is 6946067556.

6557606496 is a `hidden beast` number, since 6 + 5 + 576 + 0 + 64 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9920406 + ... + 9921066.

It is an arithmetic number, because the mean of its divisors is an integer number (54368405).

Almost surely, 2^6557606496 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 6557606496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11743575480).

6557606496 is an abundant number, since it is smaller than the sum of its proper divisors (16929544464).

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

6557606496 is a wasteful number, since it uses less digits than its factorization.

6557606496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The square root of 6557606496 is about 80979.0497351012. The cubic root of 6557606496 is about 1871.7526245551.

The spelling of 6557606496 in words is "six billion, five hundred fifty-seven million, six hundred six thousand, four hundred ninety-six".