8146425960 has 320 divisors, whose sum is σ = 28518296400. Its totient is φ = 2083221504.

The previous prime is 8146425907. The next prime is 8146425967. The reversal of 8146425960 is 695246418.

8146425960 is a `hidden beast` number, since 8 + 14 + 6 + 42 + 596 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 306740196 + 7839685764 = 17514^2 + 88542^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8146425967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26026764 + ... + 26027076.

Almost surely, 2^8146425960 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 8146425960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14259148200).

8146425960 is an abundant number, since it is smaller than the sum of its proper divisors (20371870440).

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

8146425960 is a wasteful number, since it uses less digits than its factorization.

8146425960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8146425960 is about 90257.5534789194. The cubic root of 8146425960 is about 2012.1284648294.

The spelling of 8146425960 in words is "eight billion, one hundred forty-six million, four hundred twenty-five thousand, nine hundred sixty".