8274493440 has 600 divisors, whose sum is σ = 31401271440. Its totient is φ = 2080899072.

The previous prime is 8274493379. The next prime is 8274493459. The reversal of 8274493440 is 443944728.

8274493440 is a `hidden beast` number, since 82 + 7 + 44 + 93 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 192430059 + ... + 192430101.

Almost surely, 2^8274493440 is an apocalyptic number.

8274493440 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 8274493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15700635720).

8274493440 is an abundant number, since it is smaller than the sum of its proper divisors (23126778000).

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

8274493440 is an equidigital number, since it uses as much as digits as its factorization.

8274493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 8274493440 is about 90964.2426451185. The cubic root of 8274493440 is about 2022.6177087641.

The spelling of 8274493440 in words is "eight billion, two hundred seventy-four million, four hundred ninety-three thousand, four hundred forty".