8189901720 has 384 divisors, whose sum is σ = 35739325440. Its totient is φ = 1570821120.

The previous prime is 8189901697. The next prime is 8189901767. The reversal of 8189901720 is 271099818.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 348997 + ... + 371723.

It is an arithmetic number, because the mean of its divisors is an integer number (93071160).

Almost surely, 2^8189901720 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 8189901720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17869662720).

8189901720 is an abundant number, since it is smaller than the sum of its proper divisors (27549423720).

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

8189901720 is a wasteful number, since it uses less digits than its factorization.

8189901720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22775 (or 22768 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 8189901720 is about 90498.0757806485. The cubic root of 8189901720 is about 2015.7015513886.

It can be divided in two parts, 8189 and 901720, that added together give a palindrome (909909).

The spelling of 8189901720 in words is "eight billion, one hundred eighty-nine million, nine hundred one thousand, seven hundred twenty".