9807651360 has 432 divisors, whose sum is σ = 36603560448. Its totient is φ = 2390169600.

The previous prime is 9807651353. The next prime is 9807651389. The reversal of 9807651360 is 631567089.

It is a happy number.

9807651360 is a `hidden beast` number, since 9 + 8 + 0 + 76 + 513 + 60 = 666.

It is a super-3 number, since 3×9807651360³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 46481655 + ... + 46481865.

It is an arithmetic number, because the mean of its divisors is an integer number (84730464).

Almost surely, 2^9807651360 is an apocalyptic number.

9807651360 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 9807651360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18301780224).

9807651360 is an abundant number, since it is smaller than the sum of its proper divisors (26795909088).

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

9807651360 is a wasteful number, since it uses less digits than its factorization.

9807651360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 9807651360 is about 99033.5870298557. The cubic root of 9807651360 is about 2140.5317454635.

The spelling of 9807651360 in words is "nine billion, eight hundred seven million, six hundred fifty-one thousand, three hundred sixty".