679724543106 has 96 divisors (see below), whose sum is σ = 1750469884800. Its totient is φ = 193650206976.

The previous prime is 679724543093. The next prime is 679724543119. The reversal of 679724543106 is 601345427976.

679724543106 is a `hidden beast` number, since 6 + 7 + 97 + 2 + 4 + 543 + 1 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (679724543093) and next prime (679724543119).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901050 + ... + 1473546.

It is an arithmetic number, because the mean of its divisors is an integer number (18234061300).

Almost surely, 2^679724543106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679724543106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875234942400).

679724543106 is an abundant number, since it is smaller than the sum of its proper divisors (1070745341694).

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

679724543106 is a wasteful number, since it uses less digits than its factorization.

679724543106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572870 (or 572858 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 679724543106 in words is "six hundred seventy-nine billion, seven hundred twenty-four million, five hundred forty-three thousand, one hundred six".