8920794048768 has 1152 divisors, whose sum is σ = 33466709606400. Its totient is φ = 2283811504128.

The previous prime is 8920794048757. The next prime is 8920794048821. The reversal of 8920794048768 is 8678404970298.

8920794048768 is a `hidden beast` number, since 8 + 9 + 207 + 9 + 404 + 8 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 8920794048696 and 8920794048705.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4521435430 + ... + 4521437402.

It is an arithmetic number, because the mean of its divisors is an integer number (29050963200).

Almost surely, 2^{8920794048768} 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 8920794048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16733354803200).

8920794048768 is an abundant number, since it is smaller than the sum of its proper divisors (24545915557632).

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

8920794048768 is a wasteful number, since it uses less digits than its factorization.

8920794048768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 8920794048768 in words is "eight trillion, nine hundred twenty billion, seven hundred ninety-four million, forty-eight thousand, seven hundred sixty-eight".