8219965140 has 144 divisors (see below), whose sum is σ = 26204226048. Its totient is φ = 2083076352.

The previous prime is 8219965133. The next prime is 8219965141. The reversal of 8219965140 is 415699128.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8219965141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272029 + ... + 300731.

It is an arithmetic number, because the mean of its divisors is an integer number (181973792).

Almost surely, 2^8219965140 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 8219965140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13102113024).

8219965140 is an abundant number, since it is smaller than the sum of its proper divisors (17984260908).

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

8219965140 is a wasteful number, since it uses less digits than its factorization.

8219965140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28798 (or 28793 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 8219965140 is about 90664.0234050971. The cubic root of 8219965140 is about 2018.1649462144.

The spelling of 8219965140 in words is "eight billion, two hundred nineteen million, nine hundred sixty-five thousand, one hundred forty".