8201813760 has 432 divisors, whose sum is σ = 33641427456. Its totient is φ = 1874202624.

The previous prime is 8201813723. The next prime is 8201813813. The reversal of 8201813760 is 673181028.

8201813760 is a `hidden beast` number, since 8 + 201 + 81 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2175397 + ... + 2179163.

Almost surely, 2^8201813760 is an apocalyptic number.

8201813760 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 8201813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16820713728).

8201813760 is an abundant number, since it is smaller than the sum of its proper divisors (25439613696).

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

8201813760 is an equidigital number, since it uses as much as digits as its factorization.

8201813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3810 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8201813760 is about 90563.8656418773. The cubic root of 8201813760 is about 2016.6783431542.

Adding to 8201813760 its reverse (673181028), we get a palindrome (8874994788).

The spelling of 8201813760 in words is "eight billion, two hundred one million, eight hundred thirteen thousand, seven hundred sixty".