8181572064 has 192 divisors, whose sum is σ = 23133600000. Its totient is φ = 2524262400.

The previous prime is 8181572051. The next prime is 8181572071. The reversal of 8181572064 is 4602751818.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16395687 + ... + 16396185.

It is an arithmetic number, because the mean of its divisors is an integer number (120487500).

Almost surely, 2^8181572064 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 8181572064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11566800000).

8181572064 is an abundant number, since it is smaller than the sum of its proper divisors (14952027936).

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

8181572064 is a wasteful number, since it uses less digits than its factorization.

8181572064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 8181572064 is about 90452.0428956693. The cubic root of 8181572064 is about 2015.0179536070.

The spelling of 8181572064 in words is "eight billion, one hundred eighty-one million, five hundred seventy-two thousand, sixty-four".