6427604400 has 180 divisors, whose sum is σ = 23951571912. Its totient is φ = 1469153280.

The previous prime is 6427604371. The next prime is 6427604401. The reversal of 6427604400 is 44067246.

It is not an unprimeable number, because it can be changed into a prime (6427604401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4144 + ... + 113456.

Almost surely, 2^6427604400 is an apocalyptic number.

6427604400 is a gapful number since it is divisible by the number (60) 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 6427604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975785956).

6427604400 is an abundant number, since it is smaller than the sum of its proper divisors (17523967512).

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

6427604400 is a wasteful number, since it uses less digits than its factorization.

6427604400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109348 (or 109330 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 6427604400 is about 80172.3418642614. The cubic root of 6427604400 is about 1859.3010438866.

The spelling of 6427604400 in words is "six billion, four hundred twenty-seven million, six hundred four thousand, four hundred".