8274218400 has 648 divisors, whose sum is σ = 34732152000. Its totient is φ = 1847301120.

The previous prime is 8274218357. The next prime is 8274218417. The reversal of 8274218400 is 48124728.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 107 ways as a sum of consecutive naturals, for example, 16581351 + ... + 16581849.

It is an arithmetic number, because the mean of its divisors is an integer number (53599000).

Almost surely, 2^8274218400 is an apocalyptic number.

8274218400 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 8274218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366076000).

8274218400 is an abundant number, since it is smaller than the sum of its proper divisors (26457933600).

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

8274218400 is a wasteful number, since it uses less digits than its factorization.

8274218400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 8274218400 is about 90962.7308297195. The cubic root of 8274218400 is about 2022.5952982507.

The spelling of 8274218400 in words is "eight billion, two hundred seventy-four million, two hundred eighteen thousand, four hundred".