47689804800 has 792 divisors, whose sum is σ = 192600625152. Its totient is φ = 11169792000.

The previous prime is 47689804787. The next prime is 47689804817. The reversal of 47689804800 is 840898674.

47689804800 is a `hidden beast` number, since 4 + 7 + 6 + 89 + 80 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78566097 + ... + 78566703.

Almost surely, 2^47689804800 is an apocalyptic number.

47689804800 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 47689804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96300312576).

47689804800 is an abundant number, since it is smaller than the sum of its proper divisors (144910820352).

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

47689804800 is a wasteful number, since it uses less digits than its factorization.

47689804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 47689804800 in words is "forty-seven billion, six hundred eighty-nine million, eight hundred four thousand, eight hundred".