47718744480000 has 1080 divisors, whose sum is σ = 188913779614560. Its totient is φ = 11484426240000.

The previous prime is 47718744479981. The next prime is 47718744480031. The reversal of 47718744480000 is 8444781774.

47718744480000 is a `hidden beast` number, since 47 + 7 + 1 + 87 + 44 + 480 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2201749164 + ... + 2201770836.

Almost surely, 2^{47718744480000} is an apocalyptic number.

47718744480000 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 47718744480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94456889807280).

47718744480000 is an abundant number, since it is smaller than the sum of its proper divisors (141195035134560).

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

47718744480000 is a wasteful number, since it uses less digits than its factorization.

47718744480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21865 (or 21833 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 54.

The spelling of 47718744480000 in words is "forty-seven trillion, seven hundred eighteen billion, seven hundred forty-four million, four hundred eighty thousand".