47206730880 has 512 divisors, whose sum is σ = 178776460800. Its totient is φ = 11743395840.

The previous prime is 47206730873. The next prime is 47206730881. The reversal of 47206730880 is 8803760274.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (47206730881) 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 63 ways as a sum of consecutive naturals, for example, 16293592 + ... + 16296488.

It is an arithmetic number, because the mean of its divisors is an integer number (349172775).

Almost surely, 2^47206730880 is an apocalyptic number.

47206730880 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 47206730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89388230400).

47206730880 is an abundant number, since it is smaller than the sum of its proper divisors (131569729920).

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

47206730880 is a wasteful number, since it uses less digits than its factorization.

47206730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 47206730880 in words is "forty-seven billion, two hundred six million, seven hundred thirty thousand, eight hundred eighty".