5612342400 has 864 divisors, whose sum is σ = 24109902180. Its totient is φ = 1238630400.

The previous prime is 5612342399. The next prime is 5612342453. The reversal of 5612342400 is 42432165.

5612342400 is a `hidden beast` number, since 5 + 612 + 3 + 4 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 609892416 + 5002449984 = 24696^2 + 70728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 57859152 + ... + 57859248.

Almost surely, 2^5612342400 is an apocalyptic number.

5612342400 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 5612342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12054951090).

5612342400 is an abundant number, since it is smaller than the sum of its proper divisors (18497559780).

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

5612342400 is a wasteful number, since it uses less digits than its factorization.

5612342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

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

The square root of 5612342400 is about 74915.5684754511. The cubic root of 5612342400 is about 1777.1116731377. Note that the first 3 decimals are identical.

Adding to 5612342400 its reverse (42432165), we get a palindrome (5654774565).

The spelling of 5612342400 in words is "five billion, six hundred twelve million, three hundred forty-two thousand, four hundred".