5735793600 has 336 divisors, whose sum is σ = 21588618240. Its totient is φ = 1479859200.

The previous prime is 5735793599. The next prime is 5735793611. The reversal of 5735793600 is 63975375.

5735793600 is a `hidden beast` number, since 5 + 7 + 35 + 7 + 9 + 3 + 600 = 666.

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

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, 1337059 + ... + 1341341.

It is an arithmetic number, because the mean of its divisors is an integer number (64251840).

Almost surely, 2^5735793600 is an apocalyptic number.

5735793600 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 5735793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10794309120).

5735793600 is an abundant number, since it is smaller than the sum of its proper divisors (15852824640).

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

5735793600 is a wasteful number, since it uses less digits than its factorization.

5735793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The square root of 5735793600 is about 75735.0222816367. The cubic root of 5735793600 is about 1790.0472923223.

The spelling of 5735793600 in words is "five billion, seven hundred thirty-five million, seven hundred ninety-three thousand, six hundred".