7873312233600 has 3840 divisors, whose sum is σ = 35701357824000. Its totient is φ = 1686085632000.

The previous prime is 7873312233587. The next prime is 7873312233601. The reversal of 7873312233600 is 63322133787.

7873312233600 is a `hidden beast` number, since 7 + 8 + 7 + 3 + 3 + 1 + 2 + 2 + 33 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7873312233601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 88464182356 + ... + 88464182444.

It is an arithmetic number, because the mean of its divisors is an integer number (9297228600).

Almost surely, 2^{7873312233600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7873312233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17850678912000).

7873312233600 is an abundant number, since it is smaller than the sum of its proper divisors (27828045590400).

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

7873312233600 is a wasteful number, since it uses less digits than its factorization.

7873312233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 7873312233600 in words is "seven trillion, eight hundred seventy-three billion, three hundred twelve million, two hundred thirty-three thousand, six hundred".