6785373564 has 72 divisors (see below), whose sum is σ = 17801133168. Its totient is φ = 2260016640.

The previous prime is 6785373563. The next prime is 6785373577. The reversal of 6785373564 is 4653735876.

6785373564 is a `hidden beast` number, since 6 + 7 + 8 + 5 + 3 + 73 + 564 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6785373564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6785373563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1958794 + ... + 1962254.

Almost surely, 2^6785373564 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 6785373564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8900566584).

6785373564 is an abundant number, since it is smaller than the sum of its proper divisors (11015759604).

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

6785373564 is a wasteful number, since it uses less digits than its factorization.

6785373564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5497 (or 5483 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The square root of 6785373564 is about 82373.3789764630. The cubic root of 6785373564 is about 1893.1771504468.

The spelling of 6785373564 in words is "six billion, seven hundred eighty-five million, three hundred seventy-three thousand, five hundred sixty-four".