47836921680 has 560 divisors, whose sum is σ = 183260949120. Its totient is φ = 11553518592.

The previous prime is 47836921679. The next prime is 47836921687. The reversal of 47836921680 is 8612963874.

47836921680 is a `hidden beast` number, since 478 + 3 + 6 + 9 + 2 + 168 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47836921687) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 25484902 + ... + 25486778.

Almost surely, 2^47836921680 is an apocalyptic number.

47836921680 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 47836921680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91630474560).

47836921680 is an abundant number, since it is smaller than the sum of its proper divisors (135424027440).

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

47836921680 is a wasteful number, since it uses less digits than its factorization.

47836921680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 47836921680 in words is "forty-seven billion, eight hundred thirty-six million, nine hundred twenty-one thousand, six hundred eighty".