47721727872 has 864 divisors, whose sum is σ = 181207288080. Its totient is φ = 11800608768.

The previous prime is 47721727847. The next prime is 47721727901. The reversal of 47721727872 is 27872712774.

It is a happy number.

47721727872 is a `hidden beast` number, since 477 + 21 + 72 + 7 + 87 + 2 = 666.

47721727872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47721727872² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 491976528 + ... + 491976624.

Almost surely, 2^47721727872 is an apocalyptic number.

47721727872 is a gapful number since it is divisible by the number (42) 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 47721727872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90603644040).

47721727872 is an abundant number, since it is smaller than the sum of its proper divisors (133485560208).

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

47721727872 is a wasteful number, since it uses less digits than its factorization.

47721727872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 141 counting only the distinct ones).

The product of its digits is 4302592, while the sum is 54.

The spelling of 47721727872 in words is "forty-seven billion, seven hundred twenty-one million, seven hundred twenty-seven thousand, eight hundred seventy-two".