9720235008 has 352 divisors, whose sum is σ = 32448061440. Its totient is φ = 2847744000.

The previous prime is 9720235003. The next prime is 9720235079. The reversal of 9720235008 is 8005320279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×9720235008² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9720235003) 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 31 ways as a sum of consecutive naturals, for example, 9427453 + ... + 9428483.

Almost surely, 2^9720235008 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 9720235008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16224030720).

9720235008 is an abundant number, since it is smaller than the sum of its proper divisors (22727826432).

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

9720235008 is a wasteful number, since it uses less digits than its factorization.

9720235008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9720235008 is about 98591.2521880111. The cubic root of 9720235008 is about 2134.1531821106.

The spelling of 9720235008 in words is "nine billion, seven hundred twenty million, two hundred thirty-five thousand, eight".