8181468720 has 160 divisors (see below), whose sum is σ = 28213194240. Its totient is φ = 2179203840.

The previous prime is 8181468709. The next prime is 8181468731. The reversal of 8181468720 is 278641818.

8181468720 is a `hidden beast` number, since 8 + 181 + 468 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8181468709) and next prime (8181468731).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2562325 + ... + 2565515.

It is an arithmetic number, because the mean of its divisors is an integer number (176332464).

Almost surely, 2^8181468720 is an apocalyptic number.

8181468720 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 8181468720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106597120).

8181468720 is an abundant number, since it is smaller than the sum of its proper divisors (20031725520).

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

8181468720 is a wasteful number, since it uses less digits than its factorization.

8181468720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 8181468720 is about 90451.4716298193. The cubic root of 8181468720 is about 2015.0094694636.

The spelling of 8181468720 in words is "eight billion, one hundred eighty-one million, four hundred sixty-eight thousand, seven hundred twenty".