840473734084920 has 4096 divisors, whose sum is σ = 3546815247360000. Its totient is φ = 176835992223744.

The previous prime is 840473734084877. The next prime is 840473734084921. The reversal of 840473734084920 is 29480437374048.

840473734084920 is a `hidden beast` number, since 8 + 4 + 0 + 4 + 73 + 73 + 4 + 0 + 8 + 492 + 0 = 666.

840473734084920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840473734084921) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 2737699459407 + ... + 2737699459713.

It is an arithmetic number, because the mean of its divisors is an integer number (865921691250).

Almost surely, 2^{840473734084920} 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 840473734084920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773407623680000).

840473734084920 is an abundant number, since it is smaller than the sum of its proper divisors (2706341513275080).

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

840473734084920 is a wasteful number, since it uses less digits than its factorization.

840473734084920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 840473734084920 in words is "eight hundred forty trillion, four hundred seventy-three billion, seven hundred thirty-four million, eighty-four thousand, nine hundred twenty".