47891614680 has 384 divisors, whose sum is σ = 192660249600. Its totient is φ = 10046923776.

The previous prime is 47891614669. The next prime is 47891614751. The reversal of 47891614680 is 8641619874.

47891614680 is a `hidden beast` number, since 47 + 89 + 1 + 61 + 468 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5859957 + ... + 5868123.

It is an arithmetic number, because the mean of its divisors is an integer number (501719400).

Almost surely, 2^47891614680 is an apocalyptic number.

47891614680 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 47891614680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96330124800).

47891614680 is an abundant number, since it is smaller than the sum of its proper divisors (144768634920).

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

47891614680 is a wasteful number, since it uses less digits than its factorization.

47891614680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8383 (or 8376 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 47891614680 in words is "forty-seven billion, eight hundred ninety-one million, six hundred fourteen thousand, six hundred eighty".