5716224000 has 384 divisors, whose sum is σ = 21157718400. Its totient is φ = 1522483200.

The previous prime is 5716223983. The next prime is 5716224001. The reversal of 5716224000 is 4226175.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5716224001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6911587 + ... + 6912413.

It is an arithmetic number, because the mean of its divisors is an integer number (55098225).

Almost surely, 2^5716224000 is an apocalyptic number.

5716224000 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 5716224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10578859200).

5716224000 is an abundant number, since it is smaller than the sum of its proper divisors (15441494400).

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

5716224000 is an equidigital number, since it uses as much as digits as its factorization.

5716224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5716224000 is about 75605.7140697712. The cubic root of 5716224000 is about 1788.0091887281.

The spelling of 5716224000 in words is "five billion, seven hundred sixteen million, two hundred twenty-four thousand".