5729936400 has 270 divisors, whose sum is σ = 20990863530. Its totient is φ = 1447234560.

The previous prime is 5729936389. The next prime is 5729936437. The reversal of 5729936400 is 46399275.

It is a happy number.

5729936400 is a `hidden beast` number, since 572 + 9 + 9 + 36 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 51984 + 5729884416 = 228^2 + 75696^2 .

It is a super-2 number, since 2×5729936400² = 65664342296089920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1297396 + ... + 1301804.

It is an arithmetic number, because the mean of its divisors is an integer number (77743939).

Almost surely, 2^5729936400 is an apocalyptic number.

5729936400 is a gapful number since it is divisible by the number (50) 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 5729936400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10495431765).

5729936400 is an abundant number, since it is smaller than the sum of its proper divisors (15260927130).

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

5729936400 is a wasteful number, since it uses less digits than its factorization.

5729936400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4471 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 5729936400 is about 75696.3433727152. The cubic root of 5729936400 is about 1789.4377727207.

The spelling of 5729936400 in words is "five billion, seven hundred twenty-nine million, nine hundred thirty-six thousand, four hundred".