679035157920 has 288 divisors, whose sum is σ = 2712829916160. Its totient is φ = 151422382080.

The previous prime is 679035157909. The next prime is 679035157921. The reversal of 679035157920 is 29751530976.

679035157920 is a `hidden beast` number, since 67 + 9 + 0 + 3 + 5 + 1 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×679035157920² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (679035157921) by changing a digit.

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, 408240 + ... + 1234799.

It is an arithmetic number, because the mean of its divisors is an integer number (9419548320).

Almost surely, 2^679035157920 is an apocalyptic number.

679035157920 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 679035157920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356414958080).

679035157920 is an abundant number, since it is smaller than the sum of its proper divisors (2033794758240).

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

679035157920 is a wasteful number, since it uses less digits than its factorization.

679035157920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643108 (or 1643097 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 679035157920 in words is "six hundred seventy-nine billion, thirty-five million, one hundred fifty-seven thousand, nine hundred twenty".