8272086816 has 192 divisors, whose sum is σ = 25489271808. Its totient is φ = 2299788288.

The previous prime is 8272086793. The next prime is 8272086839. The reversal of 8272086816 is 6186802728.

It is an interprime number because it is at equal distance from previous prime (8272086793) and next prime (8272086839).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 13494126 + ... + 13494738.

It is an arithmetic number, because the mean of its divisors is an integer number (132756624).

Almost surely, 2^8272086816 is an apocalyptic number.

8272086816 is a gapful number since it is divisible by the number (86) 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 8272086816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12744635904).

8272086816 is an abundant number, since it is smaller than the sum of its proper divisors (17217184992).

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

8272086816 is a wasteful number, since it uses less digits than its factorization.

8272086816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 8272086816 is about 90951.0132763786. The cubic root of 8272086816 is about 2022.4215979749.

The spelling of 8272086816 in words is "eight billion, two hundred seventy-two million, eighty-six thousand, eight hundred sixteen".