5737802400 has 1152 divisors, whose sum is σ = 25198387200. Its totient is φ = 1244160000.

The previous prime is 5737802363. The next prime is 5737802407. The reversal of 5737802400 is 42087375.

5737802400 is a `hidden beast` number, since 573 + 7 + 80 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5737802407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 139946380 + ... + 139946420.

It is an arithmetic number, because the mean of its divisors is an integer number (21873600).

Almost surely, 2^5737802400 is an apocalyptic number.

5737802400 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 5737802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12599193600).

5737802400 is an abundant number, since it is smaller than the sum of its proper divisors (19460584800).

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

5737802400 is a wasteful number, since it uses less digits than its factorization.

5737802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5737802400 is about 75748.2831488609. The cubic root of 5737802400 is about 1790.2562391308.

Adding to 5737802400 its reverse (42087375), we get a palindrome (5779889775).

The spelling of 5737802400 in words is "five billion, seven hundred thirty-seven million, eight hundred two thousand, four hundred".