47881487646720 has 3024 divisors, whose sum is σ = 219298912297920. Its totient is φ = 9931239456768.

The previous prime is 47881487646703. The next prime is 47881487646791. The reversal of 47881487646720 is 2764678418874.

It is a happy number.

47881487646720 is a `hidden beast` number, since 4 + 7 + 8 + 8 + 1 + 487 + 64 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 811550638051 + ... + 811550638109.

It is an arithmetic number, because the mean of its divisors is an integer number (72519481580).

Almost surely, 2^{47881487646720} is an apocalyptic number.

47881487646720 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 47881487646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109649456148960).

47881487646720 is an abundant number, since it is smaller than the sum of its proper divisors (171417424651200).

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

47881487646720 is an frugal number, since it uses more digits than its factorization.

47881487646720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 809238528, while the sum is 72.

The spelling of 47881487646720 in words is "forty-seven trillion, eight hundred eighty-one billion, four hundred eighty-seven million, six hundred forty-six thousand, seven hundred twenty".