6463472400 has 540 divisors, whose sum is σ = 28472646384. Its totient is φ = 1342656000.

The previous prime is 6463472371. The next prime is 6463472401. The reversal of 6463472400 is 42743646.

6463472400 is a `hidden beast` number, since 646 + 3 + 4 + 7 + 2 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6463472401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1938735 + ... + 1942065.

Almost surely, 2^6463472400 is an apocalyptic number.

6463472400 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 6463472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14236323192).

6463472400 is an abundant number, since it is smaller than the sum of its proper divisors (22009173984).

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

6463472400 is a wasteful number, since it uses less digits than its factorization.

6463472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 6463472400 is about 80395.7237668771. The cubic root of 6463472400 is about 1862.7531202612.

The spelling of 6463472400 in words is "six billion, four hundred sixty-three million, four hundred seventy-two thousand, four hundred".