8290105755764 has 96 divisors (see below), whose sum is σ = 17296250146560. Its totient is φ = 3401567769600.

The previous prime is 8290105755749. The next prime is 8290105755781. The reversal of 8290105755764 is 4675575010928.

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 31 ways as a sum of consecutive naturals, for example, 140487914 + ... + 140546910.

It is an arithmetic number, because the mean of its divisors is an integer number (180169272360).

Almost surely, 2^{8290105755764} 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 8290105755764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648125073280).

8290105755764 is an abundant number, since it is smaller than the sum of its proper divisors (9006144390796).

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

8290105755764 is a wasteful number, since it uses less digits than its factorization.

8290105755764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60489 (or 60487 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 59.

The spelling of 8290105755764 in words is "eight trillion, two hundred ninety billion, one hundred five million, seven hundred fifty-five thousand, seven hundred sixty-four".