6003145764 has 192 divisors, whose sum is σ = 19624550400. Its totient is φ = 1541548800.

The previous prime is 6003145711. The next prime is 6003145769. The reversal of 6003145764 is 4675413006.

It is a happy number.

6003145764 is a `hidden beast` number, since 600 + 3 + 1 + 45 + 7 + 6 + 4 = 666.

It is a super-2 number, since 2×6003145764² = 72075518127662287392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6003145769) 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, 736069 + ... + 744179.

It is an arithmetic number, because the mean of its divisors is an integer number (102211200).

Almost surely, 2^6003145764 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 6003145764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9812275200).

6003145764 is an abundant number, since it is smaller than the sum of its proper divisors (13621404636).

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

6003145764 is a wasteful number, since it uses less digits than its factorization.

6003145764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231 (or 8223 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6003145764 is about 77479.9700825962. The cubic root of 6003145764 is about 1817.4381058233.

The spelling of 6003145764 in words is "six billion, three million, one hundred forty-five thousand, seven hundred sixty-four".