47684083898880 has 1920 divisors, whose sum is σ = 201800811421440. Its totient is φ = 10521864437760.

The previous prime is 47684083898827. The next prime is 47684083898897. The reversal of 47684083898880 is 8889838048674.

47684083898880 is a `hidden beast` number, since 4 + 7 + 6 + 84 + 0 + 8 + 389 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a self number, because there is not a number n which added to its sum of digits gives 47684083898880.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61687042174 + ... + 61687042946.

It is an arithmetic number, because the mean of its divisors is an integer number (105104589282).

Almost surely, 2^{47684083898880} is an apocalyptic number.

47684083898880 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 47684083898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100900405710720).

47684083898880 is an abundant number, since it is smaller than the sum of its proper divisors (154116727522560).

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

47684083898880 is a wasteful number, since it uses less digits than its factorization.

47684083898880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 4756340736, while the sum is 81.

The spelling of 47684083898880 in words is "forty-seven trillion, six hundred eighty-four billion, eighty-three million, eight hundred ninety-eight thousand, eight hundred eighty".