8345783606400 has 576 divisors, whose sum is σ = 32146042968000. Its totient is φ = 2055368663040.

The previous prime is 8345783606357. The next prime is 8345783606453. The reversal of 8345783606400 is 46063875438.

8345783606400 is a `hidden beast` number, since 8 + 3 + 4 + 578 + 3 + 6 + 0 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18992371 + ... + 19426829.

It is an arithmetic number, because the mean of its divisors is an integer number (55809102375).

Almost surely, 2^{8345783606400} is an apocalyptic number.

8345783606400 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 8345783606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16073021484000).

8345783606400 is an abundant number, since it is smaller than the sum of its proper divisors (23800259361600).

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

8345783606400 is a wasteful number, since it uses less digits than its factorization.

8345783606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434541 (or 434521 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 8345783606400 in words is "eight trillion, three hundred forty-five billion, seven hundred eighty-three million, six hundred six thousand, four hundred".