6027024640 has 288 divisors, whose sum is σ = 18089890560. Its totient is φ = 1872986112.

The previous prime is 6027024617. The next prime is 6027024643. The reversal of 6027024640 is 464207206.

It is a super-2 number, since 2×6027024640² = 72650052022334259200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6027024643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6871882 + ... + 6872758.

It is an arithmetic number, because the mean of its divisors is an integer number (62812120).

Almost surely, 2^6027024640 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 6027024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9044945280).

6027024640 is an abundant number, since it is smaller than the sum of its proper divisors (12062865920).

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

6027024640 is a wasteful number, since it uses less digits than its factorization.

6027024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 6027024640 is about 77633.9142385594. The cubic root of 6027024640 is about 1819.8446753892.

The spelling of 6027024640 in words is "six billion, twenty-seven million, twenty-four thousand, six hundred forty".