8274875840 has 224 divisors, whose sum is σ = 25168969728. Its totient is φ = 2515968000.

The previous prime is 8274875813. The next prime is 8274875891. The reversal of 8274875840 is 485784728.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1006145 + ... + 1014335.

It is an arithmetic number, because the mean of its divisors is an integer number (112361472).

Almost surely, 2^8274875840 is an apocalyptic number.

8274875840 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 8274875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12584484864).

8274875840 is an abundant number, since it is smaller than the sum of its proper divisors (16894093888).

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

8274875840 is a wasteful number, since it uses less digits than its factorization.

8274875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267 (or 8257 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 53.

The square root of 8274875840 is about 90966.3445456615. The cubic root of 8274875840 is about 2022.6488662444.

The spelling of 8274875840 in words is "eight billion, two hundred seventy-four million, eight hundred seventy-five thousand, eight hundred forty".