8291874720 has 96 divisors (see below), whose sum is σ = 26142056640. Its totient is φ = 2209249280.

The previous prime is 8291874719. The next prime is 8291874769. The reversal of 8291874720 is 274781928.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8291874720.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597460 + ... + 611180.

It is an arithmetic number, because the mean of its divisors is an integer number (272313090).

Almost surely, 2^8291874720 is an apocalyptic number.

8291874720 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 8291874720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071028320).

8291874720 is an abundant number, since it is smaller than the sum of its proper divisors (17850181920).

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

8291874720 is a wasteful number, since it uses less digits than its factorization.

8291874720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14998 (or 14990 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 8291874720 is about 91059.7316051393. The cubic root of 8291874720 is about 2024.0329453516.

The spelling of 8291874720 in words is "eight billion, two hundred ninety-one million, eight hundred seventy-four thousand, seven hundred twenty".