9807315840 has 512 divisors, whose sum is σ = 40186368000. Its totient is φ = 2214051840.

The previous prime is 9807315821. The next prime is 9807315841. The reversal of 9807315840 is 485137089.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9807315841) 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 63 ways as a sum of consecutive naturals, for example, 10764985 + ... + 10765895.

It is an arithmetic number, because the mean of its divisors is an integer number (78489000).

Almost surely, 2^9807315840 is an apocalyptic number.

9807315840 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 9807315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20093184000).

9807315840 is an abundant number, since it is smaller than the sum of its proper divisors (30379052160).

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

9807315840 is a wasteful number, since it uses less digits than its factorization.

9807315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 9807315840 is about 99031.8930446147. The cubic root of 9807315840 is about 2140.5073359702.

The spelling of 9807315840 in words is "nine billion, eight hundred seven million, three hundred fifteen thousand, eight hundred forty".