5736646800 has 420 divisors, whose sum is σ = 20973848064. Its totient is φ = 1506988800.

The previous prime is 5736646781. The next prime is 5736646837. The reversal of 5736646800 is 86466375.

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 83 ways as a sum of consecutive naturals, for example, 30034705 + ... + 30034895.

Almost surely, 2^5736646800 is an apocalyptic number.

5736646800 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 5736646800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10486924032).

5736646800 is an abundant number, since it is smaller than the sum of its proper divisors (15237201264).

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

5736646800 is a wasteful number, since it uses less digits than its factorization.

5736646800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5736646800 is about 75740.6548690992. The cubic root of 5736646800 is about 1790.1360445064.

The spelling of 5736646800 in words is "five billion, seven hundred thirty-six million, six hundred forty-six thousand, eight hundred".