8004132360 has 288 divisors, whose sum is σ = 30378628800. Its totient is φ = 1822383360.

The previous prime is 8004132313. The next prime is 8004132361. The reversal of 8004132360 is 632314008.

It is a happy number.

It is a super-2 number, since 2×8004132360² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8004132361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5485311 + ... + 5486769.

It is an arithmetic number, because the mean of its divisors is an integer number (105481350).

Almost surely, 2^8004132360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8004132360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15189314400).

8004132360 is an abundant number, since it is smaller than the sum of its proper divisors (22374496440).

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

8004132360 is a wasteful number, since it uses less digits than its factorization.

8004132360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 8004132360 is about 89465.8167123064. The cubic root of 8004132360 is about 2000.3443040573.

Adding to 8004132360 its reverse (632314008), we get a palindrome (8636446368).

The spelling of 8004132360 in words is "eight billion, four million, one hundred thirty-two thousand, three hundred sixty".