9825930624 has 128 divisors (see below), whose sum is σ = 27152040960. Its totient is φ = 3144960000.

The previous prime is 9825930581. The next prime is 9825930637. The reversal of 9825930624 is 4260395289.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×9825930624² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1556274 + ... + 1562574.

It is an arithmetic number, because the mean of its divisors is an integer number (212125320).

Almost surely, 2^9825930624 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 9825930624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13576020480).

9825930624 is an abundant number, since it is smaller than the sum of its proper divisors (17326110336).

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

9825930624 is a wasteful number, since it uses less digits than its factorization.

9825930624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 9825930624 is about 99125.8322739335. The cubic root of 9825930624 is about 2141.8607439627.

The spelling of 9825930624 in words is "nine billion, eight hundred twenty-five million, nine hundred thirty thousand, six hundred twenty-four".