66879759024013 has 12 divisors (see below), whose sum is σ = 72498049152660. Its totient is φ = 61668708681216.

The previous prime is 66879759023999. The next prime is 66879759024019. The reversal of 66879759024013 is 31042095797866.

66879759024013 = 5782722² + 5782723².

It can be written as a sum of positive squares in 6 ways, for example, as 24242998943524 + 42636760080489 = 4923718^2 + 6529683^2 .

It is not a de Polignac number, because 66879759024013 - 2¹³ = 66879759015821 is a prime.

It is a super-2 number, since 2×66879759024013² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 66879759024013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66879759024019) 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, 212834506 + ... + 213148507.

It is an arithmetic number, because the mean of its divisors is an integer number (6041504096055).

It is a 2-persistent number, because it is pandigital, and so is 2⋅66879759024013 = 133759518048026, but 3⋅66879759024013 = 200639277072039 is not.

Almost surely, 2^{66879759024013} is an apocalyptic number.

66879759024013 is the 5782723-rd centered square number.

It is an amenable number.

66879759024013 is a deficient number, since it is larger than the sum of its proper divisors (5618290128647).

66879759024013 is a wasteful number, since it uses less digits than its factorization.

66879759024013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425983968 (or 425983955 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 67.

The spelling of 66879759024013 in words is "sixty-six trillion, eight hundred seventy-nine billion, seven hundred fifty-nine million, twenty-four thousand, thirteen".