8000151642 has 96 divisors (see below), whose sum is σ = 20521313280. Its totient is φ = 2203891200.

The previous prime is 8000151641. The next prime is 8000151667. The reversal of 8000151642 is 2461510008.

8000151642 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 15 + 1 + 642 = 666.

It is not an unprimeable number, because it can be changed into a prime (8000151641) 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, 4387543 + ... + 4389365.

It is an arithmetic number, because the mean of its divisors is an integer number (213763680).

Almost surely, 2^8000151642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000151642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10260656640).

8000151642 is an abundant number, since it is smaller than the sum of its proper divisors (12521161638).

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

8000151642 is a wasteful number, since it uses less digits than its factorization.

8000151642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8000151642 is about 89443.5668005251. The cubic root of 8000151642 is about 2000.0126367535.

The spelling of 8000151642 in words is "eight billion, one hundred fifty-one thousand, six hundred forty-two".