1679617755657 has 6 divisors (see below), whose sum is σ = 2426114535962. Its totient is φ = 1119745170432.

The previous prime is 1679617755631. The next prime is 1679617755661. The reversal of 1679617755657 is 7565577169761.

1679617755657 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 6 + 17 + 7 + 556 + 57 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1470456965376 + 209160790281 = 1212624^2 + 457341^2 .

It is not a de Polignac number, because 1679617755657 - 2⁶ = 1679617755593 is a prime.

It is a super-2 number, since 2×1679617755657² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1679617755457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 93312097528 + ... + 93312097545.

Almost surely, 2^{1679617755657} is an apocalyptic number.

It is an amenable number.

1679617755657 is a deficient number, since it is larger than the sum of its proper divisors (746496780305).

1679617755657 is a wasteful number, since it uses less digits than its factorization.

1679617755657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186624195079 (or 186624195076 counting only the distinct ones).

The product of its digits is 583443000, while the sum is 72.

The spelling of 1679617755657 in words is "one trillion, six hundred seventy-nine billion, six hundred seventeen million, seven hundred fifty-five thousand, six hundred fifty-seven".