6677657600 has 72 divisors (see below), whose sum is σ = 16556674680. Its totient is φ = 2671042560.

The previous prime is 6677657599. The next prime is 6677657611. The reversal of 6677657600 is 67567766.

It is a super-2 number, since 2×6677657600² = 89182222045675520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14012 + ... + 116411.

It is an arithmetic number, because the mean of its divisors is an integer number (229953815).

Almost surely, 2^6677657600 is an apocalyptic number.

It is an amenable number.

6677657600 is an abundant number, since it is smaller than the sum of its proper divisors (9879017080).

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

6677657600 is a wasteful number, since it uses less digits than its factorization.

6677657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130455 (or 130430 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 50.

The square root of 6677657600 is about 81716.9358211626. The cubic root of 6677657600 is about 1883.1057763192.

The spelling of 6677657600 in words is "six billion, six hundred seventy-seven million, six hundred fifty-seven thousand, six hundred".