6403065060 has 192 divisors, whose sum is σ = 20994365952. Its totient is φ = 1427963904.

The previous prime is 6403065017. The next prime is 6403065061. The reversal of 6403065060 is 605603046.

It is a super-3 number, since 3×6403065060³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6403065061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2972944 + ... + 2975096.

It is an arithmetic number, because the mean of its divisors is an integer number (109345656).

Almost surely, 2^6403065060 is an apocalyptic number.

6403065060 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 6403065060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10497182976).

6403065060 is an abundant number, since it is smaller than the sum of its proper divisors (14591300892).

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

6403065060 is a wasteful number, since it uses less digits than its factorization.

6403065060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 6403065060 is about 80019.1543319473. The cubic root of 6403065060 is about 1856.9318767313.

The spelling of 6403065060 in words is "six billion, four hundred three million, sixty-five thousand, sixty".