679742784 has 252 divisors, whose sum is σ = 2355092064. Its totient is φ = 183596544.

The previous prime is 679742747. The next prime is 679742809. The reversal of 679742784 is 487247976.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 679742784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1455319 + ... + 1455785.

Almost surely, 2^679742784 is an apocalyptic number.

679742784 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 679742784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177546032).

679742784 is an abundant number, since it is smaller than the sum of its proper divisors (1675349280).

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

679742784 is a wasteful number, since it uses less digits than its factorization.

679742784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 498 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 679742784 is about 26071.8772626752. The cubic root of 679742784 is about 879.2550444742.

The spelling of 679742784 in words is "six hundred seventy-nine million, seven hundred forty-two thousand, seven hundred eighty-four".