9704077824 has 160 divisors (see below), whose sum is σ = 30104680320. Its totient is φ = 2720120832.

The previous prime is 9704077813. The next prime is 9704077849. The reversal of 9704077824 is 4287704079.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 561342 + ... + 578370.

It is an arithmetic number, because the mean of its divisors is an integer number (188154252).

Almost surely, 2^9704077824 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 9704077824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15052340160).

9704077824 is an abundant number, since it is smaller than the sum of its proper divisors (20400602496).

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

9704077824 is a wasteful number, since it uses less digits than its factorization.

9704077824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17110 (or 17094 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 9704077824 is about 98509.2778574688. The cubic root of 9704077824 is about 2132.9700478618.

The spelling of 9704077824 in words is "nine billion, seven hundred four million, seventy-seven thousand, eight hundred twenty-four".