47846494080 has 768 divisors, whose sum is σ = 207319357440. Its totient is φ = 9878077440.

The previous prime is 47846494043. The next prime is 47846494099. The reversal of 47846494080 is 8049464874.

47846494080 is a `hidden beast` number, since 4 + 78 + 4 + 6 + 494 + 0 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

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, 103339929 + ... + 103340391.

It is an arithmetic number, because the mean of its divisors is an integer number (269947080).

Almost surely, 2^47846494080 is an apocalyptic number.

47846494080 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 47846494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103659678720).

47846494080 is an abundant number, since it is smaller than the sum of its proper divisors (159472863360).

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

47846494080 is a wasteful number, since it uses less digits than its factorization.

47846494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 47846494080 in words is "forty-seven billion, eight hundred forty-six million, four hundred ninety-four thousand, eighty".