9720023040 has 1152 divisors, whose sum is σ = 44359660800. Its totient is φ = 1911029760.

The previous prime is 9720023023. The next prime is 9720023051. The reversal of 9720023040 is 403200279.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 9720022995 and 9720023013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159344610 + ... + 159344670.

It is an arithmetic number, because the mean of its divisors is an integer number (38506650).

Almost surely, 2^9720023040 is an apocalyptic number.

9720023040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9720023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22179830400).

9720023040 is an abundant number, since it is smaller than the sum of its proper divisors (34639637760).

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

9720023040 is a wasteful number, since it uses less digits than its factorization.

9720023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 9720023040 is about 98590.1771983396. The cubic root of 9720023040 is about 2134.1376689236.

The spelling of 9720023040 in words is "nine billion, seven hundred twenty million, twenty-three thousand, forty".