47584673058720 has 1536 divisors, whose sum is σ = 187234096250880. Its totient is φ = 9923493888000.

The previous prime is 47584673058653. The next prime is 47584673058737. The reversal of 47584673058720 is 2785037648574.

47584673058720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47584673058720² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36915959836 + ... + 36915961124.

It is an arithmetic number, because the mean of its divisors is an integer number (121897198080).

Almost surely, 2^{47584673058720} is an apocalyptic number.

47584673058720 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 47584673058720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93617048125440).

47584673058720 is an abundant number, since it is smaller than the sum of its proper divisors (139649423192160).

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

47584673058720 is a wasteful number, since it uses less digits than its factorization.

47584673058720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 316108800, while the sum is 66.

It can be divided in two parts, 4758467 and 3058720, that added together give a palindrome (7817187).

The spelling of 47584673058720 in words is "forty-seven trillion, five hundred eighty-four billion, six hundred seventy-three million, fifty-eight thousand, seven hundred twenty".