679828968 has 384 divisors, whose sum is σ = 2460057600. Its totient is φ = 164602368.

The previous prime is 679828951. The next prime is 679828969. The reversal of 679828968 is 869828976.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (679828969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5352921 + ... + 5353047.

It is an arithmetic number, because the mean of its divisors is an integer number (6406400).

Almost surely, 2^679828968 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 679828968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230028800).

679828968 is an abundant number, since it is smaller than the sum of its proper divisors (1780228632).

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

679828968 is a wasteful number, since it uses less digits than its factorization.

679828968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 214 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The square root of 679828968 is about 26073.5300256793. The cubic root of 679828968 is about 879.2922028995.

The spelling of 679828968 in words is "six hundred seventy-nine million, eight hundred twenty-eight thousand, nine hundred sixty-eight".