9672693888 has 512 divisors, whose sum is σ = 32462438400. Its totient is φ = 2508226560.

The previous prime is 9672693887. The next prime is 9672693911. The reversal of 9672693888 is 8883962769.

It is a super-2 number, since 2×9672693888² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (9672693887) 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, 76162881 + ... + 76163007.

It is an arithmetic number, because the mean of its divisors is an integer number (63403200).

Almost surely, 2^9672693888 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 9672693888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16231219200).

9672693888 is an abundant number, since it is smaller than the sum of its proper divisors (22789744512).

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

9672693888 is a wasteful number, since it uses less digits than its factorization.

9672693888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 66.

The square root of 9672693888 is about 98349.8545398009. The cubic root of 9672693888 is about 2130.6681533662.

The spelling of 9672693888 in words is "nine billion, six hundred seventy-two million, six hundred ninety-three thousand, eight hundred eighty-eight".