47643981840 has 960 divisors, whose sum is σ = 212406405120. Its totient is φ = 9719377920.

The previous prime is 47643981799. The next prime is 47643981841. The reversal of 47643981840 is 4818934674.

47643981840 is a `hidden beast` number, since 4 + 76 + 4 + 398 + 184 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (47643981841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42652962 + ... + 42654078.

It is an arithmetic number, because the mean of its divisors is an integer number (221256672).

Almost surely, 2^47643981840 is an apocalyptic number.

47643981840 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 47643981840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106203202560).

47643981840 is an abundant number, since it is smaller than the sum of its proper divisors (164762423280).

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

47643981840 is a wasteful number, since it uses less digits than its factorization.

47643981840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 47643981840 in words is "forty-seven billion, six hundred forty-three million, nine hundred eighty-one thousand, eight hundred forty".