5642210304 has 352 divisors, whose sum is σ = 17921894400. Its totient is φ = 1749565440.

The previous prime is 5642210279. The next prime is 5642210351. The reversal of 5642210304 is 4030122465.

5642210304 is a `hidden beast` number, since 5 + 642 + 2 + 10 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×5642210304² = 63669074229127544832, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24855439 + ... + 24855665.

Almost surely, 2^5642210304 is an apocalyptic number.

5642210304 is a gapful number since it is divisible by the number (54) 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 5642210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8960947200).

5642210304 is an abundant number, since it is smaller than the sum of its proper divisors (12279684096).

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

5642210304 is a wasteful number, since it uses less digits than its factorization.

5642210304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5642210304 is about 75114.6477326493. The cubic root of 5642210304 is about 1780.2585897092.

Adding to 5642210304 its reverse (4030122465), we get a palindrome (9672332769).

The spelling of 5642210304 in words is "five billion, six hundred forty-two million, two hundred ten thousand, three hundred four".