6572779584 has 112 divisors (see below), whose sum is σ = 20098512000. Its totient is φ = 1856802816.

The previous prime is 6572779579. The next prime is 6572779601. The reversal of 6572779584 is 4859772756.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92142 + ... + 147090.

It is an arithmetic number, because the mean of its divisors is an integer number (179451000).

Almost surely, 2^6572779584 is an apocalyptic number.

6572779584 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 6572779584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10049256000).

6572779584 is an abundant number, since it is smaller than the sum of its proper divisors (13525732416).

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

6572779584 is a wasteful number, since it uses less digits than its factorization.

6572779584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55060 (or 55050 counting only the distinct ones).

The product of its digits is 29635200, while the sum is 60.

The square root of 6572779584 is about 81072.6808733990. The cubic root of 6572779584 is about 1873.1951422936.

The spelling of 6572779584 in words is "six billion, five hundred seventy-two million, seven hundred seventy-nine thousand, five hundred eighty-four".