9825537792 has 576 divisors, whose sum is σ = 33907507200. Its totient is φ = 2461777920.

The previous prime is 9825537781. The next prime is 9825537793. The reversal of 9825537792 is 2977355289.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9825537793) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91827403 + ... + 91827509.

It is an arithmetic number, because the mean of its divisors is an integer number (58867200).

Almost surely, 2^9825537792 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 9825537792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16953753600).

9825537792 is an abundant number, since it is smaller than the sum of its proper divisors (24081969408).

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

9825537792 is a wasteful number, since it uses less digits than its factorization.

9825537792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 57.

The square root of 9825537792 is about 99123.8507726571. The cubic root of 9825537792 is about 2141.8322003507.

The spelling of 9825537792 in words is "nine billion, eight hundred twenty-five million, five hundred thirty-seven thousand, seven hundred ninety-two".