8409999360 has 576 divisors, whose sum is σ = 32356920960. Its totient is φ = 1857945600.

The previous prime is 8409999359. The next prime is 8409999361. The reversal of 8409999360 is 639999048.

It is an interprime number because it is at equal distance from previous prime (8409999359) and next prime (8409999361).

It is a self number, because there is not a number n which added to its sum of digits gives 8409999360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8409999361) 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 47 ways as a sum of consecutive naturals, for example, 55695285 + ... + 55695435.

It is an arithmetic number, because the mean of its divisors is an integer number (56175210).

Almost surely, 2^8409999360 is an apocalyptic number.

8409999360 is a gapful number since it is divisible by the number (80) 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 8409999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16178460480).

8409999360 is an abundant number, since it is smaller than the sum of its proper divisors (23946921600).

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

8409999360 is a wasteful number, since it uses less digits than its factorization.

8409999360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 57.

The square root of 8409999360 is about 91706.0486554731. The cubic root of 8409999360 is about 2033.5990059263.

The spelling of 8409999360 in words is "eight billion, four hundred nine million, nine hundred ninety-nine thousand, three hundred sixty".