6006420972144 has 120 divisors (see below), whose sum is σ = 16880764475120. Its totient is φ = 1993686276096.

The previous prime is 6006420972127. The next prime is 6006420972173. The reversal of 6006420972144 is 4412790246006.

6006420972144 is a `hidden beast` number, since 6 + 0 + 0 + 6 + 420 + 9 + 7 + 214 + 4 = 666.

It is a super-2 number, since 2×6006420972144² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6006420972144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32518002 + ... + 32702190.

Almost surely, 2^{6006420972144} is an apocalyptic number.

It is an amenable number.

6006420972144 is an abundant number, since it is smaller than the sum of its proper divisors (10874343502976).

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

6006420972144 is a wasteful number, since it uses less digits than its factorization.

6006420972144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185159 (or 185150 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 6006420972144 in words is "six trillion, six billion, four hundred twenty million, nine hundred seventy-two thousand, one hundred forty-four".