6000815040 has 224 divisors, whose sum is σ = 22007925504. Its totient is φ = 1369128960.

The previous prime is 6000815017. The next prime is 6000815071. The reversal of 6000815040 is 405180006.

It is a super-2 number, since 2×6000815040² = 72019562288580403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6000815040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162807 + ... + 196233.

Almost surely, 2^6000815040 is an apocalyptic number.

6000815040 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 6000815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11003962752).

6000815040 is an abundant number, since it is smaller than the sum of its proper divisors (16007110464).

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

6000815040 is a wasteful number, since it uses less digits than its factorization.

6000815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33475 (or 33465 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 6000815040 is about 77464.9278060723. The cubic root of 6000815040 is about 1817.2028683273.

Adding to 6000815040 its reverse (405180006), we get a palindrome (6405995046).

The spelling of 6000815040 in words is "six billion, eight hundred fifteen thousand, forty".