5662425600 has 720 divisors, whose sum is σ = 23087064000. Its totient is φ = 1313832960.

The previous prime is 5662425563. The next prime is 5662425667. The reversal of 5662425600 is 65242665.

5662425600 is a `hidden beast` number, since 5 + 6 + 6 + 2 + 42 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28454301 + ... + 28454499.

Almost surely, 2^5662425600 is an apocalyptic number.

5662425600 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 5662425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11543532000).

5662425600 is an abundant number, since it is smaller than the sum of its proper divisors (17424638400).

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

5662425600 is a wasteful number, since it uses less digits than its factorization.

5662425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5662425600 is about 75249.0903599505. The cubic root of 5662425600 is about 1782.3821994963.

The spelling of 5662425600 in words is "five billion, six hundred sixty-two million, four hundred twenty-five thousand, six hundred".