9685788840 has 1080 divisors, whose sum is σ = 43279157790. Its totient is φ = 1936037376.

The previous prime is 9685788757. The next prime is 9685788857. The reversal of 9685788840 is 488875869.

It can be written as a sum of positive squares in 3 ways, for example, as 4178071044 + 5507717796 = 64638^2 + 74214^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×9685788840³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 509778351 + ... + 509778369.

Almost surely, 2^9685788840 is an apocalyptic number.

9685788840 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 9685788840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21639578895).

9685788840 is an abundant number, since it is smaller than the sum of its proper divisors (33593368950).

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

9685788840 is a wasteful number, since it uses less digits than its factorization.

9685788840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The square root of 9685788840 is about 98416.4053397603. The cubic root of 9685788840 is about 2131.6292236441.

The spelling of 9685788840 in words is "nine billion, six hundred eighty-five million, seven hundred eighty-eight thousand, eight hundred forty".