8975435069664 has 216 divisors, whose sum is σ = 30786242039280. Its totient is φ = 2429440874496.

The previous prime is 8975435069597. The next prime is 8975435069761. The reversal of 8975435069664 is 4669605345798.

8975435069664 is a `hidden beast` number, since 8 + 9 + 7 + 54 + 3 + 506 + 9 + 6 + 64 = 666.

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 = 8975435069592 and 8975435069601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5438569 + ... + 6894120.

It is an arithmetic number, because the mean of its divisors is an integer number (142528898330).

Almost surely, 2^{8975435069664} is an apocalyptic number.

8975435069664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8975435069664 is an abundant number, since it is smaller than the sum of its proper divisors (21810806969616).

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

8975435069664 is a wasteful number, since it uses less digits than its factorization.

8975435069664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12332750 (or 12332720 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 8975435069664 in words is "eight trillion, nine hundred seventy-five billion, four hundred thirty-five million, sixty-nine thousand, six hundred sixty-four".