47729863680 has 176 divisors, whose sum is σ = 161641928160. Its totient is φ = 11979194368.

The previous prime is 47729863669. The next prime is 47729863681. The reversal of 47729863680 is 8636892774.

It is a super-2 number, since 2×47729863680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (47729863681) 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 15 ways as a sum of consecutive naturals, for example, 169726 + ... + 352514.

Almost surely, 2^47729863680 is an apocalyptic number.

47729863680 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 47729863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80820964080).

47729863680 is an abundant number, since it is smaller than the sum of its proper divisors (113912064480).

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

47729863680 is a wasteful number, since it uses less digits than its factorization.

47729863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182834 (or 182816 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 47729863680 in words is "forty-seven billion, seven hundred twenty-nine million, eight hundred sixty-three thousand, six hundred eighty".