6671167554001 has 16 divisors (see below), whose sum is σ = 6830709626880. Its totient is φ = 6513846275200.

The previous prime is 6671167553959. The next prime is 6671167554043. The reversal of 6671167554001 is 1004557611766.

It is an interprime number because it is at equal distance from previous prime (6671167553959) and next prime (6671167554043).

It is a cyclic number.

It is not a de Polignac number, because 6671167554001 - 2²⁹ = 6670630683089 is a prime.

It is a super-2 number, since 2×6671167554001² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6671167554061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2473926 + ... + 4411648.

It is an arithmetic number, because the mean of its divisors is an integer number (426919351680).

Almost surely, 2^{6671167554001} is an apocalyptic number.

It is an amenable number.

6671167554001 is a deficient number, since it is larger than the sum of its proper divisors (159542072879).

6671167554001 is a wasteful number, since it uses less digits than its factorization.

6671167554001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938296.

The product of its (nonzero) digits is 1058400, while the sum is 49.

The spelling of 6671167554001 in words is "six trillion, six hundred seventy-one billion, one hundred sixty-seven million, five hundred fifty-four thousand, one".