47304288791760 has 640 divisors, whose sum is σ = 200228904529920. Its totient is φ = 8919561830400.

The previous prime is 47304288791707. The next prime is 47304288791779. The reversal of 47304288791760 is 6719788240374.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 47304288791691 and 47304288791700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12505480 + ... + 15842840.

It is an arithmetic number, because the mean of its divisors is an integer number (312857663328).

Almost surely, 2^{47304288791760} is an apocalyptic number.

47304288791760 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 47304288791760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100114452264960).

47304288791760 is an abundant number, since it is smaller than the sum of its proper divisors (152924615738160).

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

47304288791760 is a wasteful number, since it uses less digits than its factorization.

47304288791760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337467 (or 3337461 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 66.

The spelling of 47304288791760 in words is "forty-seven trillion, three hundred four billion, two hundred eighty-eight million, seven hundred ninety-one thousand, seven hundred sixty".