8458683264 has 192 divisors, whose sum is σ = 25987478400. Its totient is φ = 2633057280.

The previous prime is 8458683263. The next prime is 8458683271. The reversal of 8458683264 is 4623868548.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8458683264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8458683263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1551327 + ... + 1556769.

It is an arithmetic number, because the mean of its divisors is an integer number (135351450).

Almost surely, 2^8458683264 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 8458683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12993739200).

8458683264 is an abundant number, since it is smaller than the sum of its proper divisors (17528795136).

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

8458683264 is a wasteful number, since it uses less digits than its factorization.

8458683264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5538 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 8458683264 is about 91971.1001565166. The cubic root of 8458683264 is about 2037.5154990177.

The spelling of 8458683264 in words is "eight billion, four hundred fifty-eight million, six hundred eighty-three thousand, two hundred sixty-four".