8249280000 has 400 divisors, whose sum is σ = 29619156336. Its totient is φ = 2027520000.

The previous prime is 8249279959. The next prime is 8249280019. The reversal of 8249280000 is 829428.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12479670 + ... + 12480330.

Almost surely, 2^8249280000 is an apocalyptic number.

8249280000 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 8249280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14809578168).

8249280000 is an abundant number, since it is smaller than the sum of its proper divisors (21369876336).

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

8249280000 is an equidigital number, since it uses as much as digits as its factorization.

8249280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 8249280000 is about 90825.5470668908. The cubic root of 8249280000 is about 2020.5612269280.

The spelling of 8249280000 in words is "eight billion, two hundred forty-nine million, two hundred eighty thousand".