8411632320 has 448 divisors, whose sum is σ = 33345607680. Its totient is φ = 1749123072.

The previous prime is 8411632319. The next prime is 8411632357. The reversal of 8411632320 is 232361148.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6376621 + ... + 6377939.

It is an arithmetic number, because the mean of its divisors is an integer number (74432160).

Almost surely, 2^8411632320 is an apocalyptic number.

8411632320 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 8411632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16672803840).

8411632320 is an abundant number, since it is smaller than the sum of its proper divisors (24933975360).

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

8411632320 is a wasteful number, since it uses less digits than its factorization.

8411632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 8411632320 is about 91714.9514528575. The cubic root of 8411632320 is about 2033.7306179428.

Adding to 8411632320 its reverse (232361148), we get a palindrome (8643993468).

The spelling of 8411632320 in words is "eight billion, four hundred eleven million, six hundred thirty-two thousand, three hundred twenty".