47322072758880 has 288 divisors, whose sum is σ = 167856172743168. Its totient is φ = 12589936012800.

The previous prime is 47322072758791. The next prime is 47322072758887. The reversal of 47322072758880 is 8885727022374.

47322072758880 is a `hidden beast` number, since 4 + 7 + 3 + 2 + 20 + 7 + 27 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47322072758887) 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 47 ways as a sum of consecutive naturals, for example, 15345295 + ... + 18169265.

It is an arithmetic number, because the mean of its divisors is an integer number (582833933136).

Almost surely, 2^{47322072758880} is an apocalyptic number.

47322072758880 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 47322072758880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83928086371584).

47322072758880 is an abundant number, since it is smaller than the sum of its proper divisors (120534099984288).

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

47322072758880 is a wasteful number, since it uses less digits than its factorization.

47322072758880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824432 (or 2824412 counting only the distinct ones).

The product of its (nonzero) digits is 84295680, while the sum is 63.

The spelling of 47322072758880 in words is "forty-seven trillion, three hundred twenty-two billion, seventy-two million, seven hundred fifty-eight thousand, eight hundred eighty".