5729984736 has 288 divisors, whose sum is σ = 18737550720. Its totient is φ = 1524096000.

The previous prime is 5729984681. The next prime is 5729984747. The reversal of 5729984736 is 6374899275.

It is a self number, because there is not a number n which added to its sum of digits gives 5729984736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5451411 + ... + 5452461.

It is an arithmetic number, because the mean of its divisors is an integer number (65060940).

Almost surely, 2^5729984736 is an apocalyptic number.

5729984736 is a gapful number since it is divisible by the number (56) 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 5729984736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9368775360).

5729984736 is an abundant number, since it is smaller than the sum of its proper divisors (13007565984).

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

5729984736 is a wasteful number, since it uses less digits than its factorization.

5729984736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1143 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 60.

The square root of 5729984736 is about 75696.6626477020. The cubic root of 5729984736 is about 1789.4428044241.

The spelling of 5729984736 in words is "five billion, seven hundred twenty-nine million, nine hundred eighty-four thousand, seven hundred thirty-six".