679760640 has 576 divisors, whose sum is σ = 2781475200. Its totient is φ = 155713536.

The previous prime is 679760639. The next prime is 679760651. The reversal of 679760640 is 46067976.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7637716 + ... + 7637804.

It is an arithmetic number, because the mean of its divisors is an integer number (4828950).

Almost surely, 2^679760640 is an apocalyptic number.

679760640 is a gapful number since it is divisible by the number (60) 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 679760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390737600).

679760640 is an abundant number, since it is smaller than the sum of its proper divisors (2101714560).

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

679760640 is a wasteful number, since it uses less digits than its factorization.

679760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 679760640 is about 26072.2196983686. The cubic root of 679760640 is about 879.2627433866.

The spelling of 679760640 in words is "six hundred seventy-nine million, seven hundred sixty thousand, six hundred forty".