84090840765768 has 48 divisors (see below), whose sum is σ = 228286991591100. Its totient is φ = 27963700007040.

The previous prime is 84090840765583. The next prime is 84090840765769. The reversal of 84090840765768 is 86756704809048.

84090840765768 is a `hidden beast` number, since 8 + 4 + 0 + 9 + 0 + 8 + 40 + 7 + 6 + 576 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81425320865604 + 2665519900164 = 9023598^2 + 1632642^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 84090840765696 and 84090840765705.

It is not an unprimeable number, because it can be changed into a prime (84090840765769) 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 11 ways as a sum of consecutive naturals, for example, 1387057983 + ... + 1387118606.

Almost surely, 2^{84090840765768} is an apocalyptic number.

It is an amenable number.

84090840765768 is an abundant number, since it is smaller than the sum of its proper divisors (144196150825332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84090840765768 is a wasteful number, since it uses less digits than its factorization.

84090840765768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774177022 (or 2774177015 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 84090840765768 in words is "eighty-four trillion, ninety billion, eight hundred forty million, seven hundred sixty-five thousand, seven hundred sixty-eight".