8290748544 has 256 divisors, whose sum is σ = 24955499520. Its totient is φ = 2419642368.

The previous prime is 8290748527. The next prime is 8290748551. The reversal of 8290748544 is 4458470928.

It is a super-2 number, since 2×8290748544² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18714787 + ... + 18715229.

It is an arithmetic number, because the mean of its divisors is an integer number (97482420).

Almost surely, 2^8290748544 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 8290748544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12477749760).

8290748544 is an abundant number, since it is smaller than the sum of its proper divisors (16664750976).

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

8290748544 is a wasteful number, since it uses less digits than its factorization.

8290748544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The square root of 8290748544 is about 91053.5476738825. The cubic root of 8290748544 is about 2023.9413086347.

The spelling of 8290748544 in words is "eight billion, two hundred ninety million, seven hundred forty-eight thousand, five hundred forty-four".