5642330400 has 540 divisors, whose sum is σ = 23949377298. Its totient is φ = 1288949760.

The previous prime is 5642330347. The next prime is 5642330411. The reversal of 5642330400 is 40332465.

It can be written as a sum of positive squares in 3 ways, for example, as 4194375696 + 1447954704 = 64764^2 + 38052^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3174312 + ... + 3176088.

Almost surely, 2^5642330400 is an apocalyptic number.

5642330400 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 5642330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11974688649).

5642330400 is an abundant number, since it is smaller than the sum of its proper divisors (18307046898).

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

5642330400 is a wasteful number, since it uses less digits than its factorization.

5642330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 5642330400 is about 75115.4471463760. The cubic root of 5642330400 is about 1780.2712207177.

Adding to 5642330400 its reverse (40332465), we get a palindrome (5682662865).

The spelling of 5642330400 in words is "five billion, six hundred forty-two million, three hundred thirty thousand, four hundred".