7872248217600 has 1632 divisors, whose sum is σ = 31718972286400. Its totient is φ = 1937784176640.

The previous prime is 7872248217599. The next prime is 7872248217607. The reversal of 7872248217600 is 67128422787.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

7872248217600 is a `hidden beast` number, since 7 + 8 + 7 + 2 + 2 + 4 + 8 + 21 + 7 + 600 = 666.

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 (7872248217607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 605557555194 + ... + 605557555206.

Almost surely, 2^{7872248217600} 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 7872248217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15859486143200).

7872248217600 is an abundant number, since it is smaller than the sum of its proper divisors (23846724068800).

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

7872248217600 is an frugal number, since it uses more digits than its factorization.

7872248217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 7872248217600 in words is "seven trillion, eight hundred seventy-two billion, two hundred forty-eight million, two hundred seventeen thousand, six hundred".