47694566400 has 1056 divisors, whose sum is σ = 185582788608. Its totient is φ = 10705305600.

The previous prime is 47694566383. The next prime is 47694566401. The reversal of 47694566400 is 466549674.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47694566401) 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 95 ways as a sum of consecutive naturals, for example, 711859167 + ... + 711859233.

Almost surely, 2^47694566400 is an apocalyptic number.

47694566400 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 47694566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92791394304).

47694566400 is an abundant number, since it is smaller than the sum of its proper divisors (137888222208).

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

47694566400 is a wasteful number, since it uses less digits than its factorization.

47694566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

It can be divided in two parts, 476945 and 66400, that added together give a palindrome (543345).

The spelling of 47694566400 in words is "forty-seven billion, six hundred ninety-four million, five hundred sixty-six thousand, four hundred".