8444718720 has 768 divisors, whose sum is σ = 33819120000. Its totient is φ = 1985347584.

The previous prime is 8444718707. The next prime is 8444718721. The reversal of 8444718720 is 278174448.

8444718720 is a `hidden beast` number, since 8 + 4 + 447 + 187 + 20 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8444718721) 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, 94884436 + ... + 94884524.

Almost surely, 2^8444718720 is an apocalyptic number.

8444718720 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 8444718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16909560000).

8444718720 is an abundant number, since it is smaller than the sum of its proper divisors (25374401280).

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

8444718720 is a wasteful number, since it uses less digits than its factorization.

8444718720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The square root of 8444718720 is about 91895.1506881620. The cubic root of 8444718720 is about 2036.3936283075.

The spelling of 8444718720 in words is "eight billion, four hundred forty-four million, seven hundred eighteen thousand, seven hundred twenty".