6657416976 has 160 divisors (see below), whose sum is σ = 20572968960. Its totient is φ = 1813819392.

The previous prime is 6657416959. The next prime is 6657416981. The reversal of 6657416976 is 6796147566.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2927776 + ... + 2930048.

It is an arithmetic number, because the mean of its divisors is an integer number (128581056).

Almost surely, 2^6657416976 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 6657416976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10286484480).

6657416976 is an abundant number, since it is smaller than the sum of its proper divisors (13915551984).

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

6657416976 is a wasteful number, since it uses less digits than its factorization.

6657416976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2687 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 57.

The square root of 6657416976 is about 81592.9958758716. The cubic root of 6657416976 is about 1881.2012256741.

The spelling of 6657416976 in words is "six billion, six hundred fifty-seven million, four hundred sixteen thousand, nine hundred seventy-six".