8279322854400 has 1320 divisors, whose sum is σ = 33163424712264. Its totient is φ = 2028876595200.

The previous prime is 8279322854393. The next prime is 8279322854441. The reversal of 8279322854400 is 44582239728.

8279322854400 is a `hidden beast` number, since 8 + 2 + 7 + 9 + 3 + 228 + 5 + 4 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 760495620096 + 7518827234304 = 872064^2 + 2742048^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7574860254 + ... + 7574861346.

Almost surely, 2^{8279322854400} is an apocalyptic number.

8279322854400 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 8279322854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16581712356132).

8279322854400 is an abundant number, since it is smaller than the sum of its proper divisors (24884101857864).

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

8279322854400 is a wasteful number, since it uses less digits than its factorization.

8279322854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 8279322854400 in words is "eight trillion, two hundred seventy-nine billion, three hundred twenty-two million, eight hundred fifty-four thousand, four hundred".