47071037704320 has 384 divisors, whose sum is σ = 187225205207040. Its totient is φ = 10674375892992.

The previous prime is 47071037704291. The next prime is 47071037704333. The reversal of 47071037704320 is 2340773017074.

47071037704320 is a `hidden beast` number, since 47 + 0 + 7 + 103 + 7 + 70 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524434 + ... + 9716846.

It is an arithmetic number, because the mean of its divisors is an integer number (487565638560).

Almost surely, 2^{47071037704320} is an apocalyptic number.

47071037704320 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 47071037704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93612602603520).

47071037704320 is an abundant number, since it is smaller than the sum of its proper divisors (140154167502720).

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

47071037704320 is a wasteful number, since it uses less digits than its factorization.

47071037704320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9192572 (or 9192557 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The spelling of 47071037704320 in words is "forty-seven trillion, seventy-one billion, thirty-seven million, seven hundred four thousand, three hundred twenty".