7872249605220 has 576 divisors, whose sum is σ = 32467426467840. Its totient is φ = 1490845824000.

The previous prime is 7872249605177. The next prime is 7872249605239. The reversal of 7872249605220 is 225069422787.

7872249605220 is a `hidden beast` number, since 7 + 8 + 7 + 2 + 2 + 4 + 9 + 605 + 2 + 20 = 666.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 13957695 + ... + 14510745.

It is an arithmetic number, because the mean of its divisors is an integer number (56367059840).

Almost surely, 2^{7872249605220} is an apocalyptic number.

7872249605220 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 7872249605220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16233713233920).

7872249605220 is an abundant number, since it is smaller than the sum of its proper divisors (24595176862620).

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

7872249605220 is a wasteful number, since it uses less digits than its factorization.

7872249605220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553176 (or 553171 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 7872249605220 in words is "seven trillion, eight hundred seventy-two billion, two hundred forty-nine million, six hundred five thousand, two hundred twenty".