8212181760 has 360 divisors, whose sum is σ = 29708558880. Its totient is φ = 2165833728.

The previous prime is 8212181743. The next prime is 8212181771. The reversal of 8212181760 is 671812128.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10678656 + ... + 10679424.

Almost surely, 2^8212181760 is an apocalyptic number.

8212181760 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 8212181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14854279440).

8212181760 is an abundant number, since it is smaller than the sum of its proper divisors (21496377120).

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

8212181760 is a wasteful number, since it uses less digits than its factorization.

8212181760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 8212181760 is about 90621.0889362956. The cubic root of 8212181760 is about 2017.5277535188.

Adding to 8212181760 its reverse (671812128), we get a palindrome (8883993888).

The spelling of 8212181760 in words is "eight billion, two hundred twelve million, one hundred eighty-one thousand, seven hundred sixty".