8244270720 has 384 divisors, whose sum is σ = 33744896640. Its totient is φ = 1884155904.

The previous prime is 8244270709. The next prime is 8244270721. The reversal of 8244270720 is 270724428.

8244270720 is a `hidden beast` number, since 82 + 442 + 70 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8244270721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084854 + ... + 1092426.

It is an arithmetic number, because the mean of its divisors is an integer number (87877335).

Almost surely, 2^8244270720 is an apocalyptic number.

8244270720 is a gapful number since it is divisible by the number (80) 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 8244270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16872448320).

8244270720 is an abundant number, since it is smaller than the sum of its proper divisors (25500625920).

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

8244270720 is an equidigital number, since it uses as much as digits as its factorization.

8244270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614 (or 7590 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 8244270720 is about 90797.9664970532. The cubic root of 8244270720 is about 2020.1521566266.

The spelling of 8244270720 in words is "eight billion, two hundred forty-four million, two hundred seventy thousand, seven hundred twenty".