5906342400 has 720 divisors, whose sum is σ = 23542716384. Its totient is φ = 1300561920.

The previous prime is 5906342383. The next prime is 5906342401. The reversal of 5906342400 is 42436095.

It is not an unprimeable number, because it can be changed into a prime (5906342401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80908764 + ... + 80908836.

Almost surely, 2^5906342400 is an apocalyptic number.

5906342400 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 5906342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11771358192).

5906342400 is an abundant number, since it is smaller than the sum of its proper divisors (17636373984).

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

5906342400 is a wasteful number, since it uses less digits than its factorization.

5906342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 5906342400 is about 76852.7318967908. The cubic root of 5906342400 is about 1807.6161244165.

Adding to 5906342400 its reverse (42436095), we get a palindrome (5948778495).

The spelling of 5906342400 in words is "five billion, nine hundred six million, three hundred forty-two thousand, four hundred".