47680696392784 has 320 divisors, whose sum is σ = 120841065676800. Its totient is φ = 17711046752256.

The previous prime is 47680696392779. The next prime is 47680696392817. The reversal of 47680696392784 is 48729369608674.

47680696392784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (79).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 457628407 + ... + 457732585.

It is an arithmetic number, because the mean of its divisors is an integer number (377628330240).

Almost surely, 2^{47680696392784} 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 47680696392784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60420532838400).

47680696392784 is an abundant number, since it is smaller than the sum of its proper divisors (73160369284016).

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

47680696392784 is a wasteful number, since it uses less digits than its factorization.

47680696392784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104482 (or 104476 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 79.

The spelling of 47680696392784 in words is "forty-seven trillion, six hundred eighty billion, six hundred ninety-six million, three hundred ninety-two thousand, seven hundred eighty-four".