9829724540 has 24 divisors (see below), whose sum is σ = 20648531232. Its totient is φ = 3930726080.

The previous prime is 9829724519. The next prime is 9829724549. The reversal of 9829724540 is 454279289.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9829724549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1784 + ... + 140223.

It is an arithmetic number, because the mean of its divisors is an integer number (860355468).

Almost surely, 2^9829724540 is an apocalyptic number.

It is an amenable number.

9829724540 is an abundant number, since it is smaller than the sum of its proper divisors (10818806692).

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

9829724540 is a wasteful number, since it uses less digits than its factorization.

9829724540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145477 (or 145475 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The square root of 9829724540 is about 99144.9672953701. The cubic root of 9829724540 is about 2142.1363749920.

The spelling of 9829724540 in words is "nine billion, eight hundred twenty-nine million, seven hundred twenty-four thousand, five hundred forty".