8144274320 has 480 divisors, whose sum is σ = 25581696000. Its totient is φ = 2395201536.

The previous prime is 8144274301. The next prime is 8144274329. The reversal of 8144274320 is 234724418.

It is a super-2 number, since 2×8144274320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (8144274329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103092041 + ... + 103092119.

It is an arithmetic number, because the mean of its divisors is an integer number (53295200).

Almost surely, 2^8144274320 is an apocalyptic number.

8144274320 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 8144274320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790848000).

8144274320 is an abundant number, since it is smaller than the sum of its proper divisors (17437421680).

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

8144274320 is a wasteful number, since it uses less digits than its factorization.

8144274320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 8144274320 is about 90245.6332461577. The cubic root of 8144274320 is about 2011.9513009489.

Adding to 8144274320 its reverse (234724418), we get a palindrome (8378998738).

The spelling of 8144274320 in words is "eight billion, one hundred forty-four million, two hundred seventy-four thousand, three hundred twenty".