5653724000 has 384 divisors, whose sum is σ = 15793989120. Its totient is φ = 1978368000.

The previous prime is 5653723997. The next prime is 5653724039. The reversal of 5653724000 is 4273565.

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 63 ways as a sum of consecutive naturals, for example, 92683970 + ... + 92684030.

It is an arithmetic number, because the mean of its divisors is an integer number (41130180).

Almost surely, 2^5653724000 is an apocalyptic number.

5653724000 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 5653724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896994560).

5653724000 is an abundant number, since it is smaller than the sum of its proper divisors (10140265120).

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

5653724000 is a wasteful number, since it uses less digits than its factorization.

5653724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 5653724000 is about 75191.2494908816. The cubic root of 5653724000 is about 1781.4687200387.

Adding to 5653724000 its reverse (4273565), we get a palindrome (5657997565).

The spelling of 5653724000 in words is "five billion, six hundred fifty-three million, seven hundred twenty-four thousand".