6011501640 has 96 divisors (see below), whose sum is σ = 18678142080. Its totient is φ = 1547762944.

The previous prime is 6011501623. The next prime is 6011501647. The reversal of 6011501640 is 461051106.

It is a super-2 number, since 2×6011501640² = 72276303935445379200, 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 6011501640.

It is not an unprimeable number, because it can be changed into a prime (6011501647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71137 + ... + 130703.

It is an arithmetic number, because the mean of its divisors is an integer number (194563980).

Almost surely, 2^6011501640 is an apocalyptic number.

6011501640 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 6011501640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9339071040).

6011501640 is an abundant number, since it is smaller than the sum of its proper divisors (12666640440).

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

6011501640 is a wasteful number, since it uses less digits than its factorization.

6011501640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59639 (or 59606 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 6011501640 is about 77533.8741454340. The cubic root of 6011501640 is about 1818.2809554156.

Adding to 6011501640 its reverse (461051106), we get a palindrome (6472552746).

The spelling of 6011501640 in words is "six billion, eleven million, five hundred one thousand, six hundred forty".