8396837222400 has 1152 divisors, whose sum is σ = 33829847251200. Its totient is φ = 2024541388800.

The previous prime is 8396837222353. The next prime is 8396837222413. The reversal of 8396837222400 is 42227386938.

8396837222400 is a `hidden beast` number, since 8 + 3 + 9 + 6 + 8 + 3 + 7 + 222 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2995659399 + ... + 2995662201.

It is an arithmetic number, because the mean of its divisors is an integer number (29366186850).

Almost surely, 2^{8396837222400} is an apocalyptic number.

8396837222400 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 8396837222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16914923625600).

8396837222400 is an abundant number, since it is smaller than the sum of its proper divisors (25433010028800).

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

8396837222400 is a wasteful number, since it uses less digits than its factorization.

8396837222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 8396837222400 in words is "eight trillion, three hundred ninety-six billion, eight hundred thirty-seven million, two hundred twenty-two thousand, four hundred".