8274895200 has 1440 divisors, whose sum is σ = 38112560640. Its totient is φ = 1716940800.

The previous prime is 8274895171. The next prime is 8274895201. The reversal of 8274895200 is 25984728.

8274895200 is a `hidden beast` number, since 82 + 7 + 48 + 9 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8274895201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 176061577 + ... + 176061623.

It is an arithmetic number, because the mean of its divisors is an integer number (26467056).

Almost surely, 2^8274895200 is an apocalyptic number.

8274895200 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 8274895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19056280320).

8274895200 is an abundant number, since it is smaller than the sum of its proper divisors (29837665440).

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

8274895200 is a wasteful number, since it uses less digits than its factorization.

8274895200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 8274895200 is about 90966.4509585814. The cubic root of 8274895200 is about 2022.6504436477.

The spelling of 8274895200 in words is "eight billion, two hundred seventy-four million, eight hundred ninety-five thousand, two hundred".