6006418901472 has 72 divisors (see below), whose sum is σ = 17330504157288. Its totient is φ = 1820126936320.

The previous prime is 6006418901459. The next prime is 6006418901489. The reversal of 6006418901472 is 2741098146006.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258529143 + ... + 258552374.

It is an arithmetic number, because the mean of its divisors is an integer number (240701446629).

Almost surely, 2^{6006418901472} is an apocalyptic number.

It is an amenable number.

6006418901472 is an abundant number, since it is smaller than the sum of its proper divisors (11324085255816).

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

6006418901472 is a wasteful number, since it uses less digits than its factorization.

6006418901472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517081552 (or 517081533 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 6006418901472 in words is "six trillion, six billion, four hundred eighteen million, nine hundred one thousand, four hundred seventy-two".