679662144 has 336 divisors, whose sum is σ = 2432304000. Its totient is φ = 185213952.

The previous prime is 679662133. The next prime is 679662157. The reversal of 679662144 is 441266976.

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (435456) is a multiple of the sum of its prime divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 679662144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1947282 + ... + 1947630.

It is an arithmetic number, because the mean of its divisors is an integer number (7239000).

Almost surely, 2^679662144 is an apocalyptic number.

679662144 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 679662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216152000).

679662144 is an abundant number, since it is smaller than the sum of its proper divisors (1752641856).

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

679662144 is a wasteful number, since it uses less digits than its factorization.

679662144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 384 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 679662144 is about 26070.3307228735. The cubic root of 679662144 is about 879.2202735125.

The spelling of 679662144 in words is "six hundred seventy-nine million, six hundred sixty-two thousand, one hundred forty-four".