759405121979 has 16 divisors (see below), whose sum is σ = 874284441600. Its totient is φ = 646129703520.

The previous prime is 759405121961. The next prime is 759405121991. The reversal of 759405121979 is 979121504957.

It is a de Polignac number, because none of the positive numbers 2^k-759405121979 is a prime.

It is a super-4 number, since 4×759405121979⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (759405121919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1373414 + ... + 1845284.

It is an arithmetic number, because the mean of its divisors is an integer number (54642777600).

Almost surely, 2^759405121979 is an apocalyptic number.

759405121979 is a deficient number, since it is larger than the sum of its proper divisors (114879319621).

759405121979 is a wasteful number, since it uses less digits than its factorization.

759405121979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473570.

The product of its (nonzero) digits is 7144200, while the sum is 59.

The spelling of 759405121979 in words is "seven hundred fifty-nine billion, four hundred five million, one hundred twenty-one thousand, nine hundred seventy-nine".