9685621440 has 448 divisors, whose sum is σ = 37524049920. Its totient is φ = 2332385280.

The previous prime is 9685621433. The next prime is 9685621447. The reversal of 9685621440 is 441265869.

It is an interprime number because it is at equal distance from previous prime (9685621433) and next prime (9685621447).

It is a super-2 number, since 2×9685621440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9685621447) 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, 21193692 + ... + 21194148.

It is an arithmetic number, because the mean of its divisors is an integer number (83759040).

Almost surely, 2^9685621440 is an apocalyptic number.

9685621440 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 9685621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18762024960).

9685621440 is an abundant number, since it is smaller than the sum of its proper divisors (27838428480).

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

9685621440 is a wasteful number, since it uses less digits than its factorization.

9685621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 9685621440 is about 98415.5548681203. The cubic root of 9685621440 is about 2131.6169432199.

The spelling of 9685621440 in words is "nine billion, six hundred eighty-five million, six hundred twenty-one thousand, four hundred forty".