5662310400 has 288 divisors, whose sum is σ = 20803746600. Its totient is φ = 1509949440.

The previous prime is 5662310399. The next prime is 5662310443. The reversal of 5662310400 is 40132665.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 5! ⋅ (2!)¹⁶.

It is a tau number, because it is divible by the number of its divisors (288).

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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1132462078 + ... + 1132462082.

Almost surely, 2^5662310400 is an apocalyptic number.

5662310400 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 5662310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10401873300).

5662310400 is an abundant number, since it is smaller than the sum of its proper divisors (15141436200).

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

5662310400 is an frugal number, since it uses more digits than its factorization.

5662310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5662310400 is about 75248.3248982992. The cubic root of 5662310400 is about 1782.3701121073.

The spelling of 5662310400 in words is "five billion, six hundred sixty-two million, three hundred ten thousand, four hundred".