5682144400 has 45 divisors (see below), whose sum is σ = 13654974891. Its totient is φ = 2272254720.

The previous prime is 5682144361. The next prime is 5682144409. The reversal of 5682144400 is 44412865.

The square root of 5682144400 is 75380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 262828944 + 5419315456 = 16212^2 + 73616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5682144409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1505716 + ... + 1509484.

Almost surely, 2^5682144400 is an apocalyptic number.

5682144400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5682144400 is the 75380-th square number.

It is an amenable number.

5682144400 is an abundant number, since it is smaller than the sum of its proper divisors (7972830491).

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

5682144400 is an frugal number, since it uses more digits than its factorization.

5682144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7556 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The cubic root of 5682144400 is about 1784.4487884707.

The spelling of 5682144400 in words is "five billion, six hundred eighty-two million, one hundred forty-four thousand, four hundred".