8472207744 has 1024 divisors, whose sum is σ = 35094528000. Its totient is φ = 1940889600.

The previous prime is 8472207743. The next prime is 8472207763. The reversal of 8472207744 is 4477022748.

It is a self number, because there is not a number n which added to its sum of digits gives 8472207744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8472207743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107243097 + ... + 107243175.

It is an arithmetic number, because the mean of its divisors is an integer number (34272000).

Almost surely, 2^8472207744 is an apocalyptic number.

8472207744 is a gapful number since it is divisible by the number (84) 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 8472207744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17547264000).

8472207744 is an abundant number, since it is smaller than the sum of its proper divisors (26622320256).

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

8472207744 is a wasteful number, since it uses less digits than its factorization.

8472207744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The square root of 8472207744 is about 92044.5964953946. The cubic root of 8472207744 is about 2038.6008398955.

It can be divided in two parts, 847 and 2207744, that multiplied together give a cube (1869959168 = 1232³).

The spelling of 8472207744 in words is "eight billion, four hundred seventy-two million, two hundred seven thousand, seven hundred forty-four".