47646817920 has 384 divisors, whose sum is σ = 183756867840. Its totient is φ = 11727949824.

The previous prime is 47646817913. The next prime is 47646817961. The reversal of 47646817920 is 2971864674.

47646817920 is a `hidden beast` number, since 4 + 7 + 6 + 468 + 179 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 2009977 + ... + 2033543.

It is an arithmetic number, because the mean of its divisors is an integer number (478533510).

Almost surely, 2^47646817920 is an apocalyptic number.

47646817920 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 47646817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91878433920).

47646817920 is an abundant number, since it is smaller than the sum of its proper divisors (136110049920).

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

47646817920 is a wasteful number, since it uses less digits than its factorization.

47646817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23614 (or 23590 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 47646817920 in words is "forty-seven billion, six hundred forty-six million, eight hundred seventeen thousand, nine hundred twenty".