6676435584 has 768 divisors, whose sum is σ = 25803878400. Its totient is φ = 1660538880.

The previous prime is 6676435541. The next prime is 6676435639. The reversal of 6676435584 is 4855346766.

6676435584 is a `hidden beast` number, since 66 + 76 + 435 + 5 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (14515200) is a multiple of the sum of its prime factors (150).

It is a self number, because there is not a number n which added to its sum of digits gives 6676435584.

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, 94034269 + ... + 94034339.

It is an arithmetic number, because the mean of its divisors is an integer number (33598800).

Almost surely, 2^6676435584 is an apocalyptic number.

6676435584 is a gapful number since it is divisible by the number (64) 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 6676435584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12901939200).

6676435584 is an abundant number, since it is smaller than the sum of its proper divisors (19127442816).

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

6676435584 is a wasteful number, since it uses less digits than its factorization.

6676435584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The square root of 6676435584 is about 81709.4583509155. The cubic root of 6676435584 is about 1882.9908994211.

The spelling of 6676435584 in words is "six billion, six hundred seventy-six million, four hundred thirty-five thousand, five hundred eighty-four".