9707659920 has 640 divisors, whose sum is σ = 39997440000. Its totient is φ = 2117560320.

The previous prime is 9707659903. The next prime is 9707659921. The reversal of 9707659920 is 299567079.

It is a super-2 number, since 2×9707659920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9707659921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65152006 + ... + 65152154.

It is an arithmetic number, because the mean of its divisors is an integer number (62496000).

Almost surely, 2^9707659920 is an apocalyptic number.

9707659920 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 9707659920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720000).

9707659920 is an abundant number, since it is smaller than the sum of its proper divisors (30289780080).

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

9707659920 is a wasteful number, since it uses less digits than its factorization.

9707659920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The square root of 9707659920 is about 98527.4576958119. The cubic root of 9707659920 is about 2133.2324655000.

The spelling of 9707659920 in words is "nine billion, seven hundred seven million, six hundred fifty-nine thousand, nine hundred twenty".