8072514464 has 72 divisors (see below), whose sum is σ = 19294581600. Its totient is φ = 3256114176.

The previous prime is 8072514449. The next prime is 8072514487. The reversal of 8072514464 is 4644152708.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2387 + ... + 127085.

It is an arithmetic number, because the mean of its divisors is an integer number (267980300).

Almost surely, 2^8072514464 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 8072514464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9647290800).

8072514464 is an abundant number, since it is smaller than the sum of its proper divisors (11222067136).

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

8072514464 is a wasteful number, since it uses less digits than its factorization.

8072514464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124750 (or 124725 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The square root of 8072514464 is about 89847.1728214082. The cubic root of 8072514464 is about 2006.0247052401.

The spelling of 8072514464 in words is "eight billion, seventy-two million, five hundred fourteen thousand, four hundred sixty-four".