2263767825879 has 48 divisors (see below), whose sum is σ = 3957254982720. Its totient is φ = 1217360240640.

The previous prime is 2263767825857. The next prime is 2263767825883. The reversal of 2263767825879 is 9785287673622.

2263767825879 is a `hidden beast` number, since 2 + 2 + 6 + 37 + 6 + 7 + 8 + 2 + 587 + 9 = 666.

It is not a de Polignac number, because 2263767825879 - 2¹³ = 2263767817687 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263767825829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10527519 + ... + 10740399.

It is an arithmetic number, because the mean of its divisors is an integer number (82442812140).

Almost surely, 2^{2263767825879} is an apocalyptic number.

2263767825879 is a deficient number, since it is larger than the sum of its proper divisors (1693487156841).

2263767825879 is a wasteful number, since it uses less digits than its factorization.

2263767825879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222840 (or 222837 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 2263767825879 in words is "two trillion, two hundred sixty-three billion, seven hundred sixty-seven million, eight hundred twenty-five thousand, eight hundred seventy-nine".