679321663669152 has 480 divisors, whose sum is σ = 2336596082118144. Its totient is φ = 189560202048000.

The previous prime is 679321663669069. The next prime is 679321663669193. The reversal of 679321663669152 is 251966366123976.

679321663669152 is a `hidden beast` number, since 6 + 7 + 9 + 321 + 66 + 36 + 69 + 152 = 666.

679321663669152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×679321663669152² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9714135627 + ... + 9714205557.

Almost surely, 2^{679321663669152} 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 679321663669152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168298041059072).

679321663669152 is an abundant number, since it is smaller than the sum of its proper divisors (1657274418448992).

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

679321663669152 is a wasteful number, since it uses less digits than its factorization.

679321663669152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82454 (or 82437 counting only the distinct ones).

The product of its digits is 793618560, while the sum is 72.

The spelling of 679321663669152 in words is "six hundred seventy-nine trillion, three hundred twenty-one billion, six hundred sixty-three million, six hundred sixty-nine thousand, one hundred fifty-two".