47745631728 has 120 divisors (see below), whose sum is σ = 137013203808. Its totient is φ = 15515076096.

The previous prime is 47745631711. The next prime is 47745631729. The reversal of 47745631728 is 82713654774.

47745631728 is a `hidden beast` number, since 4 + 7 + 7 + 4 + 563 + 1 + 72 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47745631729) 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 23 ways as a sum of consecutive naturals, for example, 1178301 + ... + 1218147.

Almost surely, 2^47745631728 is an apocalyptic number.

47745631728 is a gapful number since it is divisible by the number (48) 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 47745631728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68506601904).

47745631728 is an abundant number, since it is smaller than the sum of its proper divisors (89267572080).

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

47745631728 is a wasteful number, since it uses less digits than its factorization.

47745631728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40071 (or 40062 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 47745631728 in words is "forty-seven billion, seven hundred forty-five million, six hundred thirty-one thousand, seven hundred twenty-eight".