5735763600 has 180 divisors, whose sum is σ = 21373547184. Its totient is φ = 1311018240.

The previous prime is 5735763589. The next prime is 5735763601. The reversal of 5735763600 is 63675375.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5735763601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10027 + ... + 107573.

Almost surely, 2^5735763600 is an apocalyptic number.

5735763600 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 5735763600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10686773592).

5735763600 is an abundant number, since it is smaller than the sum of its proper divisors (15637783584).

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

5735763600 is a wasteful number, since it uses less digits than its factorization.

5735763600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97582 (or 97564 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 42.

The square root of 5735763600 is about 75734.8242224144. The cubic root of 5735763600 is about 1790.0441714805.

The spelling of 5735763600 in words is "five billion, seven hundred thirty-five million, seven hundred sixty-three thousand, six hundred".