47405730816 has 528 divisors, whose sum is σ = 154028725760. Its totient is φ = 14511882240.

The previous prime is 47405730809. The next prime is 47405730821. The reversal of 47405730816 is 61803750474.

47405730816 is a `hidden beast` number, since 4 + 74 + 0 + 573 + 0 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174928761 + ... + 174929031.

Almost surely, 2^47405730816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47405730816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77014362880).

47405730816 is an abundant number, since it is smaller than the sum of its proper divisors (106622994944).

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

47405730816 is a wasteful number, since it uses less digits than its factorization.

47405730816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 47405730816 in words is "forty-seven billion, four hundred five million, seven hundred thirty thousand, eight hundred sixteen".