8743790949768 has 1536 divisors, whose sum is σ = 31860996710400. Its totient is φ = 2106910310400.

The previous prime is 8743790949731. The next prime is 8743790949851. The reversal of 8743790949768 is 8679490973478.

8743790949768 is a `hidden beast` number, since 8 + 7 + 4 + 37 + 90 + 9 + 497 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36281290128 + ... + 36281290368.

It is an arithmetic number, because the mean of its divisors is an integer number (20742836400).

Almost surely, 2^{8743790949768} 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 8743790949768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15930498355200).

8743790949768 is an abundant number, since it is smaller than the sum of its proper divisors (23117205760632).

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

8743790949768 is a wasteful number, since it uses less digits than its factorization.

8743790949768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 4608866304, while the sum is 81.

The spelling of 8743790949768 in words is "eight trillion, seven hundred forty-three billion, seven hundred ninety million, nine hundred forty-nine thousand, seven hundred sixty-eight".