8464971744 has 240 divisors, whose sum is σ = 25972963632. Its totient is φ = 2702149632.

The previous prime is 8464971743. The next prime is 8464971761. The reversal of 8464971744 is 4471794648.

8464971744 is a `hidden beast` number, since 8 + 464 + 9 + 7 + 174 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8464971743) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5906452 + ... + 5907884.

Almost surely, 2^8464971744 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 8464971744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12986481816).

8464971744 is an abundant number, since it is smaller than the sum of its proper divisors (17507991888).

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

8464971744 is a wasteful number, since it uses less digits than its factorization.

8464971744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1534 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 8464971744 is about 92005.2810658171. The cubic root of 8464971744 is about 2038.0202939602.

It can be divided in two parts, 846497 and 1744, that added together give a square (848241 = 921²).

The spelling of 8464971744 in words is "eight billion, four hundred sixty-four million, nine hundred seventy-one thousand, seven hundred forty-four".