8240753664 has 528 divisors, whose sum is σ = 28880386080. Its totient is φ = 2242805760.

The previous prime is 8240753659. The next prime is 8240753737. The reversal of 8240753664 is 4663570428.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222723054 + ... + 222723090.

Almost surely, 2^8240753664 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 8240753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14440193040).

8240753664 is an abundant number, since it is smaller than the sum of its proper divisors (20639632416).

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

8240753664 is a wasteful number, since it uses less digits than its factorization.

8240753664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 8240753664 is about 90778.5969488403. The cubic root of 8240753664 is about 2019.8648460369.

The spelling of 8240753664 in words is "eight billion, two hundred forty million, seven hundred fifty-three thousand, six hundred sixty-four".