6332774400 has 432 divisors, whose sum is σ = 23566069800. Its totient is φ = 1685422080.

The previous prime is 6332774387. The next prime is 6332774401. The reversal of 6332774400 is 44772336.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6332774401) 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, 12441346 + ... + 12441854.

Almost surely, 2^6332774400 is an apocalyptic number.

6332774400 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 6332774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11783034900).

6332774400 is an abundant number, since it is smaller than the sum of its proper divisors (17233295400).

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

6332774400 is an equidigital number, since it uses as much as digits as its factorization.

6332774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 6332774400 is about 79578.7308267731. The cubic root of 6332774400 is about 1850.1119386857. Note that the first 3 decimals are identical.

The spelling of 6332774400 in words is "six billion, three hundred thirty-two million, seven hundred seventy-four thousand, four hundred".