7845882912000 has 2016 divisors, whose sum is σ = 34963361072640. Its totient is φ = 1714552012800.

The previous prime is 7845882911969. The next prime is 7845882912001. The reversal of 7845882912000 is 2192885487.

7845882912000 is a `hidden beast` number, since 7 + 8 + 458 + 82 + 91 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7845882912001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3755806956 + ... + 3755809044.

It is an arithmetic number, because the mean of its divisors is an integer number (17342937040).

Almost surely, 2^{7845882912000} is an apocalyptic number.

7845882912000 is a gapful number since it is divisible by the number (70) 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 7845882912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17481680536320).

7845882912000 is an abundant number, since it is smaller than the sum of its proper divisors (27117478160640).

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

7845882912000 is an equidigital number, since it uses as much as digits as its factorization.

7845882912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 7845882912000 in words is "seven trillion, eight hundred forty-five billion, eight hundred eighty-two million, nine hundred twelve thousand".