5726336000 has 528 divisors, whose sum is σ = 18347539392. Its totient is φ = 1763328000.

The previous prime is 5726335999. The next prime is 5726336029. The reversal of 5726336000 is 6336275.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 68991959 + ... + 68992041.

Almost surely, 2^5726336000 is an apocalyptic number.

5726336000 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 5726336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9173769696).

5726336000 is an abundant number, since it is smaller than the sum of its proper divisors (12621203392).

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

5726336000 is a wasteful number, since it uses less digits than its factorization.

5726336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The square root of 5726336000 is about 75672.5577736077. The cubic root of 5726336000 is about 1789.0628970270.

The spelling of 5726336000 in words is "five billion, seven hundred twenty-six million, three hundred thirty-six thousand".