8309811840 has 256 divisors, whose sum is σ = 28989705600. Its totient is φ = 2007941120.

The previous prime is 8309811821. The next prime is 8309811863. The reversal of 8309811840 is 481189038.

It is a junction number, because it is equal to n+sod(n) for n = 8309811792 and 8309811801.

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, 10749694 + ... + 10750466.

Almost surely, 2^8309811840 is an apocalyptic number.

8309811840 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 8309811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14494852800).

8309811840 is an abundant number, since it is smaller than the sum of its proper divisors (20679893760).

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

8309811840 is a wasteful number, since it uses less digits than its factorization.

8309811840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 8309811840 is about 91158.1693541506. The cubic root of 8309811840 is about 2025.4913680328.

The spelling of 8309811840 in words is "eight billion, three hundred nine million, eight hundred eleven thousand, eight hundred forty".