6363134400 has 672 divisors, whose sum is σ = 25398374400. Its totient is φ = 1363968000.

The previous prime is 6363134269. The next prime is 6363134411. The reversal of 6363134400 is 44313636.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42705526 + ... + 42705674.

It is an arithmetic number, because the mean of its divisors is an integer number (37795200).

Almost surely, 2^6363134400 is an apocalyptic number.

6363134400 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 6363134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12699187200).

6363134400 is an abundant number, since it is smaller than the sum of its proper divisors (19035240000).

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

6363134400 is a wasteful number, since it uses less digits than its factorization.

6363134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 6363134400 is about 79769.2572361057. The cubic root of 6363134400 is about 1853.0637716168.

The spelling of 6363134400 in words is "six billion, three hundred sixty-three million, one hundred thirty-four thousand, four hundred".