7224827166720 has 840 divisors, whose sum is σ = 26147326776480. Its totient is φ = 1915488829440.

The previous prime is 7224827166707. The next prime is 7224827166731. The reversal of 7224827166720 is 276617284227.

7224827166720 is a `hidden beast` number, since 7 + 2 + 248 + 271 + 66 + 72 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 18572820286 + ... + 18572820674.

It is an arithmetic number, because the mean of its divisors is an integer number (31127769972).

Almost surely, 2^{7224827166720} 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 7224827166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13073663388240).

7224827166720 is an abundant number, since it is smaller than the sum of its proper divisors (18922499609760).

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

7224827166720 is an frugal number, since it uses more digits than its factorization.

7224827166720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 7224827166720 in words is "seven trillion, two hundred twenty-four billion, eight hundred twenty-seven million, one hundred sixty-six thousand, seven hundred twenty".