5739663855744 has 1152 divisors, whose sum is σ = 22324023474480. Its totient is φ = 1397670543360.

The previous prime is 5739663855713. The next prime is 5739663855749. The reversal of 5739663855744 is 4475583669375.

It is a happy number.

5739663855744 is a `hidden beast` number, since 5 + 7 + 3 + 9 + 6 + 63 + 8 + 557 + 4 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4211196494400 + 1528467361344 = 2052120^2 + 1236312^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5739663855749) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 661171084 + ... + 661179764.

Almost surely, 2^{5739663855744} 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 5739663855744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11162011737240).

5739663855744 is an abundant number, since it is smaller than the sum of its proper divisors (16584359618736).

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

5739663855744 is a wasteful number, since it uses less digits than its factorization.

5739663855744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8798 (or 8776 counting only the distinct ones).

The product of its digits is 2286144000, while the sum is 72.

The spelling of 5739663855744 in words is "five trillion, seven hundred thirty-nine billion, six hundred sixty-three million, eight hundred fifty-five thousand, seven hundred forty-four".