5642263200 has 576 divisors, whose sum is σ = 22371068160. Its totient is φ = 1207664640.

The previous prime is 5642263181. The next prime is 5642263243. The reversal of 5642263200 is 23622465.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18026244 + ... + 18026556.

It is an arithmetic number, because the mean of its divisors is an integer number (38838660).

Almost surely, 2^5642263200 is an apocalyptic number.

5642263200 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 5642263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11185534080).

5642263200 is an abundant number, since it is smaller than the sum of its proper divisors (16728804960).

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

5642263200 is a wasteful number, since it uses less digits than its factorization.

5642263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 5642263200 is about 75114.9998335885. Note that the first 3 decimals coincide. The cubic root of 5642263200 is about 1780.2641530292.

Adding to 5642263200 its reverse (23622465), we get a palindrome (5665885665).

The spelling of 5642263200 in words is "five billion, six hundred forty-two million, two hundred sixty-three thousand, two hundred".