8253791680 has 112 divisors (see below), whose sum is σ = 19956780000. Its totient is φ = 3251109888.

The previous prime is 8253791671. The next prime is 8253791681. The reversal of 8253791680 is 861973528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8253791681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6607696 + ... + 6608944.

Almost surely, 2^8253791680 is an apocalyptic number.

8253791680 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 8253791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9978390000).

8253791680 is an abundant number, since it is smaller than the sum of its proper divisors (11702988320).

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

8253791680 is a wasteful number, since it uses less digits than its factorization.

8253791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The square root of 8253791680 is about 90850.3807366816. The cubic root of 8253791680 is about 2020.9295202520.

The spelling of 8253791680 in words is "eight billion, two hundred fifty-three million, seven hundred ninety-one thousand, six hundred eighty".