6008013540 has 192 divisors, whose sum is σ = 19599390720. Its totient is φ = 1525011840.

The previous prime is 6008013527. The next prime is 6008013547. The reversal of 6008013540 is 453108006.

6008013540 is a `hidden beast` number, since 600 + 8 + 0 + 1 + 3 + 54 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6008013547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2818275 + ... + 2820405.

It is an arithmetic number, because the mean of its divisors is an integer number (102080160).

Almost surely, 2^6008013540 is an apocalyptic number.

6008013540 is a gapful number since it is divisible by the number (60) 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 6008013540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9799695360).

6008013540 is an abundant number, since it is smaller than the sum of its proper divisors (13591377180).

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

6008013540 is a wasteful number, since it uses less digits than its factorization.

6008013540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6008013540 is about 77511.3768423707. The cubic root of 6008013540 is about 1817.9292089766.

The spelling of 6008013540 in words is "six billion, eight million, thirteen thousand, five hundred forty".