8251976320 has 128 divisors (see below), whose sum is σ = 23006304000. Its totient is φ = 2829173760.

The previous prime is 8251976311. The next prime is 8251976347. The reversal of 8251976320 is 236791528.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×8251976320² (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 200725 + ... + 238315.

It is an arithmetic number, because the mean of its divisors is an integer number (179736750).

Almost surely, 2^8251976320 is an apocalyptic number.

8251976320 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 8251976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11503152000).

8251976320 is an abundant number, since it is smaller than the sum of its proper divisors (14754327680).

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

8251976320 is an equidigital number, since it uses as much as digits as its factorization.

8251976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37631 (or 37605 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 8251976320 is about 90840.3892550004. The cubic root of 8251976320 is about 2020.7813465900.

The spelling of 8251976320 in words is "eight billion, two hundred fifty-one million, nine hundred seventy-six thousand, three hundred twenty".