6363878400 has 924 divisors, whose sum is σ = 26633664384. Its totient is φ = 1492992000.

The previous prime is 6363878399. The next prime is 6363878401. The reversal of 6363878400 is 48783636.

6363878400 is a `hidden beast` number, since 6 + 3 + 638 + 7 + 8 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6363878399) and next prime (6363878401).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6363878401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 205286385 + ... + 205286415.

Almost surely, 2^6363878400 is an apocalyptic number.

6363878400 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 6363878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13316832192).

6363878400 is an abundant number, since it is smaller than the sum of its proper divisors (20269785984).

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

6363878400 is a wasteful number, since it uses less digits than its factorization.

6363878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6363878400 is about 79773.9205505158. The cubic root of 6363878400 is about 1853.1359910415.

The spelling of 6363878400 in words is "six billion, three hundred sixty-three million, eight hundred seventy-eight thousand, four hundred".