8318453972400 has 720 divisors, whose sum is σ = 33970347946080. Its totient is φ = 1858384281600.

The previous prime is 8318453972399. The next prime is 8318453972401. The reversal of 8318453972400 is 42793548138.

It is a happy number.

8318453972400 is a `hidden beast` number, since 8 + 3 + 1 + 8 + 4 + 5 + 397 + 240 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8318453972399) and next prime (8318453972401).

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (8318453972401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 317618506 + ... + 317644694.

It is an arithmetic number, because the mean of its divisors is an integer number (47181038814).

Almost surely, 2^{8318453972400} is an apocalyptic number.

8318453972400 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 8318453972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16985173973040).

8318453972400 is an abundant number, since it is smaller than the sum of its proper divisors (25651893973680).

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

8318453972400 is a wasteful number, since it uses less digits than its factorization.

8318453972400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26854 (or 26840 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 8318453972400 in words is "eight trillion, three hundred eighteen billion, four hundred fifty-three million, nine hundred seventy-two thousand, four hundred".