5706624000 has 704 divisors, whose sum is σ = 23788956672. Its totient is φ = 1179648000.

The previous prime is 5706623987. The next prime is 5706624017. The reversal of 5706624000 is 4266075.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 29567904 + ... + 29568096.

Almost surely, 2^5706624000 is an apocalyptic number.

5706624000 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 5706624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11894478336).

5706624000 is an abundant number, since it is smaller than the sum of its proper divisors (18082332672).

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

5706624000 is a wasteful number, since it uses less digits than its factorization.

5706624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5706624000 is about 75542.2001268165. The cubic root of 5706624000 is about 1787.0076822403.

The spelling of 5706624000 in words is "five billion, seven hundred six million, six hundred twenty-four thousand".