8233717680 has 120 divisors (see below), whose sum is σ = 27735910800. Its totient is φ = 2188961280.

The previous prime is 8233717643. The next prime is 8233717727. The reversal of 8233717680 is 867173328.

It is a tau number, because it is divible by the number of its divisors (120).

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221046 + ... + 255594.

It is an arithmetic number, because the mean of its divisors is an integer number (231132590).

Almost surely, 2^8233717680 is an apocalyptic number.

8233717680 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 8233717680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13867955400).

8233717680 is an abundant number, since it is smaller than the sum of its proper divisors (19502193120).

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

8233717680 is a wasteful number, since it uses less digits than its factorization.

8233717680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34899 (or 34890 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 8233717680 is about 90739.8351331983. The cubic root of 8233717680 is about 2019.2898264891.

The spelling of 8233717680 in words is "eight billion, two hundred thirty-three million, seven hundred seventeen thousand, six hundred eighty".