6010445808640 has 528 divisors, whose sum is σ = 18130074005232. Its totient is φ = 1895054966784.

The previous prime is 6010445808623. The next prime is 6010445808641. The reversal of 6010445808640 is 468085440106.

It can be written as a sum of positive squares in 8 ways, for example, as 2849560068096 + 3160885740544 = 1688064^2 + 1777888^2 .

It is a super-2 number, since 2×6010445808640² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6010445808641) 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, 903415554 + ... + 903422206.

Almost surely, 2^{6010445808640} 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 6010445808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9065037002616).

6010445808640 is an abundant number, since it is smaller than the sum of its proper divisors (12119628196592).

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

6010445808640 is a wasteful number, since it uses less digits than its factorization.

6010445808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6982 (or 6957 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 6010445808640 in words is "six trillion, ten billion, four hundred forty-five million, eight hundred eight thousand, six hundred forty".