679761264 has 120 divisors (see below), whose sum is σ = 2173348992. Its totient is φ = 179262720.

The previous prime is 679761241. The next prime is 679761281. The reversal of 679761264 is 462167976.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50799 + ... + 62769.

Almost surely, 2^679761264 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 679761264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086674496).

679761264 is an abundant number, since it is smaller than the sum of its proper divisors (1493587728).

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

679761264 is a wasteful number, since it uses less digits than its factorization.

679761264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12015 (or 11996 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 679761264 is about 26072.2316651260. The cubic root of 679761264 is about 879.2630124322.

The spelling of 679761264 in words is "six hundred seventy-nine million, seven hundred sixty-one thousand, two hundred sixty-four".