47634458618880 has 1056 divisors, whose sum is σ = 190474497368064. Its totient is φ = 10781881270272.

The previous prime is 47634458618839. The next prime is 47634458618881. The reversal of 47634458618880 is 8881685443674.

47634458618880 is a `hidden beast` number, since 4 + 7 + 6 + 34 + 4 + 586 + 1 + 8 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×47634458618880³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 47634458618799 and 47634458618808.

It is not an unprimeable number, because it can be changed into a prime (47634458618881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22227931089 + ... + 22227933231.

Almost surely, 2^{47634458618880} is an apocalyptic number.

47634458618880 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 47634458618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95237248684032).

47634458618880 is an abundant number, since it is smaller than the sum of its proper divisors (142840038749184).

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

47634458618880 is a wasteful number, since it uses less digits than its factorization.

47634458618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 990904320, while the sum is 72.

The spelling of 47634458618880 in words is "forty-seven trillion, six hundred thirty-four billion, four hundred fifty-eight million, six hundred eighteen thousand, eight hundred eighty".