9873629760 has 112 divisors (see below), whose sum is σ = 31389376896. Its totient is φ = 2629558272.

The previous prime is 9873629747. The next prime is 9873629761. The reversal of 9873629760 is 679263789.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9873629760.

It is not an unprimeable number, because it can be changed into a prime (9873629761) by changing a digit.

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, 783832 + ... + 796328.

Almost surely, 2^9873629760 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 9873629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15694688448).

9873629760 is an abundant number, since it is smaller than the sum of its proper divisors (21515747136).

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

9873629760 is a wasteful number, since it uses less digits than its factorization.

9873629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13340 (or 13330 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The square root of 9873629760 is about 99366.1399069120. The cubic root of 9873629760 is about 2145.3209771730.

The spelling of 9873629760 in words is "nine billion, eight hundred seventy-three million, six hundred twenty-nine thousand, seven hundred sixty".