9412977659904 has 468 divisors, whose sum is σ = 34061940912636. Its totient is φ = 2482537365504.

The previous prime is 9412977659887. The next prime is 9412977659909. The reversal of 9412977659904 is 4099567792149.

9412977659904 is a `hidden beast` number, since 9 + 4 + 1 + 29 + 7 + 7 + 6 + 599 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4435438178304 + 4977539481600 = 2106048^2 + 2231040^2 .

It is a tau number, because it is divible by the number of its divisors (468).

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

It is not an unprimeable number, because it can be changed into a prime (9412977659909) 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 35 ways as a sum of consecutive naturals, for example, 23281942 + ... + 23682794.

It is an arithmetic number, because the mean of its divisors is an integer number (72781925027).

Almost surely, 2^{9412977659904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9412977659904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17030970456318).

9412977659904 is an abundant number, since it is smaller than the sum of its proper divisors (24648963252732).

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

9412977659904 is a wasteful number, since it uses less digits than its factorization.

9412977659904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400910 (or 400878 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 9412977659904 in words is "nine trillion, four hundred twelve billion, nine hundred seventy-seven million, six hundred fifty-nine thousand, nine hundred four".