8254965264 has 320 divisors, whose sum is σ = 29258127360. Its totient is φ = 1940889600.

The previous prime is 8254965263. The next prime is 8254965403. The reversal of 8254965264 is 4625694528.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (8254965263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1407939 + ... + 1413789.

It is an arithmetic number, because the mean of its divisors is an integer number (91431648).

Almost surely, 2^8254965264 is an apocalyptic number.

8254965264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8254965264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629063680).

8254965264 is an abundant number, since it is smaller than the sum of its proper divisors (21003162096).

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

8254965264 is a wasteful number, since it uses less digits than its factorization.

8254965264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918 (or 5912 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The square root of 8254965264 is about 90856.8393903288. The cubic root of 8254965264 is about 2021.0252991878.

The spelling of 8254965264 in words is "eight billion, two hundred fifty-four million, nine hundred sixty-five thousand, two hundred sixty-four".