864705744 has 300 divisors, whose sum is σ = 2939403012. Its totient is φ = 237081600.

The previous prime is 864705733. The next prime is 864705749. The reversal of 864705744 is 447507468.

864705744 is a `hidden beast` number, since 8 + 6 + 4 + 70 + 574 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34574400 + 830131344 = 5880^2 + 28812^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 864705744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864705749) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14175474 + ... + 14175534.

Almost surely, 2^864705744 is an apocalyptic number.

864705744 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 864705744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469701506).

864705744 is an abundant number, since it is smaller than the sum of its proper divisors (2074697268).

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

864705744 is a wasteful number, since it uses less digits than its factorization.

864705744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 864705744 is about 29405.8794121176. The cubic root of 864705744 is about 952.6998890221.

The spelling of 864705744 in words is "eight hundred sixty-four million, seven hundred five thousand, seven hundred forty-four".