8325064396800 has 2340 divisors, whose sum is σ = 34409407555776. Its totient is φ = 1985347584000.

The previous prime is 8325064396739. The next prime is 8325064396829. The reversal of 8325064396800 is 86934605238.

8325064396800 is a `hidden beast` number, since 8 + 3 + 2 + 506 + 43 + 96 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 55132876725 + ... + 55132876875.

Almost surely, 2^{8325064396800} is an apocalyptic number.

8325064396800 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 8325064396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204703777888).

8325064396800 is an abundant number, since it is smaller than the sum of its proper divisors (26084343158976).

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

8325064396800 is a wasteful number, since it uses less digits than its factorization.

8325064396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 8325064396800 in words is "eight trillion, three hundred twenty-five billion, sixty-four million, three hundred ninety-six thousand, eight hundred".