6002900092006 has 64 divisors (see below), whose sum is σ = 9896556257280. Its totient is φ = 2719354659840.

The previous prime is 6002900091997. The next prime is 6002900092009.

6002900092006 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6002900092009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179158251 + ... + 179191753.

It is an arithmetic number, because the mean of its divisors is an integer number (154633691520).

Almost surely, 2^{6002900092006} is an apocalyptic number.

6002900092006 is a deficient number, since it is larger than the sum of its proper divisors (3893656165274).

6002900092006 is a wasteful number, since it uses less digits than its factorization.

6002900092006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35269.

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 6002900092006 in words is "six trillion, two billion, nine hundred million, ninety-two thousand, six".