8201761164 has 96 divisors (see below), whose sum is σ = 21515155200. Its totient is φ = 2701797120.

The previous prime is 8201761157. The next prime is 8201761193. The reversal of 8201761164 is 4611671028.

It is a happy number.

8201761164 is a `hidden beast` number, since 8 + 20 + 17 + 611 + 6 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 3616759 + ... + 3619025.

It is an arithmetic number, because the mean of its divisors is an integer number (224116200).

Almost surely, 2^8201761164 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 8201761164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10757577600).

8201761164 is an abundant number, since it is smaller than the sum of its proper divisors (13313394036).

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

8201761164 is a wasteful number, since it uses less digits than its factorization.

8201761164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2652 counting only the distinct ones).

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

The square root of 8201761164 is about 90563.5752606974. The cubic root of 8201761164 is about 2016.6740323419.

The spelling of 8201761164 in words is "eight billion, two hundred one million, seven hundred sixty-one thousand, one hundred sixty-four".