679008936755601 has 12 divisors (see below), whose sum is σ = 980899169086980. Its totient is φ = 452622555582720.

The previous prime is 679008936755543. The next prime is 679008936755603. The reversal of 679008936755601 is 106557639800976.

679008936755601 is a `hidden beast` number, since 6 + 7 + 9 + 0 + 0 + 8 + 9 + 3 + 6 + 7 + 5 + 5 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 677406811161600 + 1602125594001 = 26027040^2 + 1265751^2 .

It is not a de Polignac number, because 679008936755601 - 2³¹ = 679006789271953 is a prime.

It is a super-2 number, since 2×679008936755601² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 679008936755601.

It is not an unprimeable number, because it can be changed into a prime (679008936755603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4172324196 + ... + 4172486933.

It is an arithmetic number, because the mean of its divisors is an integer number (81741597423915).

Almost surely, 2^{679008936755601} is an apocalyptic number.

It is an amenable number.

679008936755601 is a deficient number, since it is larger than the sum of its proper divisors (301890232331379).

679008936755601 is a wasteful number, since it uses less digits than its factorization.

679008936755601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8344820176 (or 8344820173 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 679008936755601 in words is "six hundred seventy-nine trillion, eight billion, nine hundred thirty-six million, seven hundred fifty-five thousand, six hundred one".