6162422400 has 144 divisors (see below), whose sum is σ = 21989038110. Its totient is φ = 1643304960.

The previous prime is 6162422381. The next prime is 6162422401. The reversal of 6162422400 is 42242616.

6162422400 is a `hidden beast` number, since 6 + 16 + 242 + 2 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5938860096 + 223562304 = 77064^2 + 14952^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (6162422401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78187 + ... + 135786.

Almost surely, 2^6162422400 is an apocalyptic number.

6162422400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6162422400 is an abundant number, since it is smaller than the sum of its proper divisors (15826615710).

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

6162422400 is a wasteful number, since it uses less digits than its factorization.

6162422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214003 (or 213983 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6162422400 is about 78501.0980814918. The cubic root of 6162422400 is about 1833.3715503512.

The spelling of 6162422400 in words is "six billion, one hundred sixty-two million, four hundred twenty-two thousand, four hundred".