47718878400 has 504 divisors, whose sum is σ = 173343905280. Its totient is φ = 12448235520.

The previous prime is 47718878387. The next prime is 47718878407. The reversal of 47718878400 is 487881774.

47718878400 is a `hidden beast` number, since 477 + 18 + 87 + 84 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (47718878407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 177393466 + ... + 177393734.

It is an arithmetic number, because the mean of its divisors is an integer number (343936320).

Almost surely, 2^47718878400 is an apocalyptic number.

47718878400 is a gapful number since it is divisible by the number (40) 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 47718878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86671952640).

47718878400 is an abundant number, since it is smaller than the sum of its proper divisors (125625026880).

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

47718878400 is a wasteful number, since it uses less digits than its factorization.

47718878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 54.

The spelling of 47718878400 in words is "forty-seven billion, seven hundred eighteen million, eight hundred seventy-eight thousand, four hundred".