7872193713600 has 252 divisors, whose sum is σ = 28070789811064. Its totient is φ = 2092412528640.

The previous prime is 7872193713557. The next prime is 7872193713623. The reversal of 7872193713600 is 63173912787.

7872193713600 is a `hidden beast` number, since 7 + 8 + 7 + 2 + 19 + 3 + 7 + 13 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3530442 + ... + 5311158.

Almost surely, 2^{7872193713600} 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 7872193713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14035394905532).

7872193713600 is an abundant number, since it is smaller than the sum of its proper divisors (20198596097464).

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

7872193713600 is a wasteful number, since it uses less digits than its factorization.

7872193713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781052 (or 1781034 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 7872193713600 in words is "seven trillion, eight hundred seventy-two billion, one hundred ninety-three million, seven hundred thirteen thousand, six hundred".