6657610608 has 240 divisors, whose sum is σ = 20863664640. Its totient is φ = 1964851200.

The previous prime is 6657610559. The next prime is 6657610633. The reversal of 6657610608 is 8060167566.

6657610608 is a `hidden beast` number, since 6 + 6 + 576 + 10 + 60 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10385968 + ... + 10386608.

It is an arithmetic number, because the mean of its divisors is an integer number (86931936).

Almost surely, 2^6657610608 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 6657610608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10431832320).

6657610608 is an abundant number, since it is smaller than the sum of its proper divisors (14206054032).

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

6657610608 is a wasteful number, since it uses less digits than its factorization.

6657610608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6657610608 is about 81594.1824396813. The cubic root of 6657610608 is about 1881.2194638399.

The spelling of 6657610608 in words is "six billion, six hundred fifty-seven million, six hundred ten thousand, six hundred eight".