7889372122800 has 240 divisors, whose sum is σ = 29003470801920. Its totient is φ = 1795739473920.

The previous prime is 7889372122787. The next prime is 7889372122831. The reversal of 7889372122800 is 82212739887.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42724 + ... + 3972476.

It is an arithmetic number, because the mean of its divisors is an integer number (120847795008).

Almost surely, 2^{7889372122800} is an apocalyptic number.

7889372122800 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 7889372122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14501735400960).

7889372122800 is an abundant number, since it is smaller than the sum of its proper divisors (21114098679120).

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

7889372122800 is a wasteful number, since it uses less digits than its factorization.

7889372122800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930020 (or 3930009 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 7889372122800 in words is "seven trillion, eight hundred eighty-nine billion, three hundred seventy-two million, one hundred twenty-two thousand, eight hundred".