8254968064 has 108 divisors (see below), whose sum is σ = 19226732700. Its totient is φ = 3527000064.

The previous prime is 8254968053. The next prime is 8254968077. The reversal of 8254968064 is 4608694528.

It can be written as a sum of positive squares in 2 ways, for example, as 7848542464 + 406425600 = 88592^2 + 20160^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5129692 + ... + 5131300.

Almost surely, 2^8254968064 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 8254968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9613366350).

8254968064 is an abundant number, since it is smaller than the sum of its proper divisors (10971764636).

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

8254968064 is a wasteful number, since it uses less digits than its factorization.

8254968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The square root of 8254968064 is about 90856.8547991840. The cubic root of 8254968064 is about 2021.0255276915.

The spelling of 8254968064 in words is "eight billion, two hundred fifty-four million, nine hundred sixty-eight thousand, sixty-four".