8072640576 has 672 divisors, whose sum is σ = 32128358400. Its totient is φ = 1930106880.

The previous prime is 8072640539. The next prime is 8072640577. The reversal of 8072640576 is 6750462708.

8072640576 is a `hidden beast` number, since 8 + 0 + 72 + 6 + 4 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×8072640576² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8072640577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22486285 + ... + 22486643.

Almost surely, 2^8072640576 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 8072640576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16064179200).

8072640576 is an abundant number, since it is smaller than the sum of its proper divisors (24055717824).

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

8072640576 is a wasteful number, since it uses less digits than its factorization.

8072640576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 8072640576 is about 89847.8746326256. The cubic root of 8072640576 is about 2006.0351514884.

The spelling of 8072640576 in words is "eight billion, seventy-two million, six hundred forty thousand, five hundred seventy-six".