8468572320 has 288 divisors, whose sum is σ = 31553422992. Its totient is φ = 2055684096.

The previous prime is 8468572297. The next prime is 8468572337. The reversal of 8468572320 is 232758648.

8468572320 is a `hidden beast` number, since 8 + 46 + 8 + 572 + 32 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1940578704 + 6527993616 = 44052^2 + 80796^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1363462 + ... + 1369658.

Almost surely, 2^8468572320 is an apocalyptic number.

8468572320 is a gapful number since it is divisible by the number (80) 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 8468572320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15776711496).

8468572320 is an abundant number, since it is smaller than the sum of its proper divisors (23084850672).

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

8468572320 is a wasteful number, since it uses less digits than its factorization.

8468572320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6304 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8468572320 is about 92024.8462101404. The cubic root of 8468572320 is about 2038.3092103328.

The spelling of 8468572320 in words is "eight billion, four hundred sixty-eight million, five hundred seventy-two thousand, three hundred twenty".