5667007006000 has 80 divisors (see below), whose sum is σ = 13724005089600. Its totient is φ = 2263298726400.

The previous prime is 5667007005991. The next prime is 5667007006069. The reversal of 5667007006000 is 6007007665.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5667007006000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895725 + ... + 3483724.

It is an arithmetic number, because the mean of its divisors is an integer number (171550063620).

Almost surely, 2^{5667007006000} is an apocalyptic number.

5667007006000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5667007006000 is an abundant number, since it is smaller than the sum of its proper divisors (8056998083600).

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

5667007006000 is a wasteful number, since it uses less digits than its factorization.

5667007006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380119 (or 4380103 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The spelling of 5667007006000 in words is "five trillion, six hundred sixty-seven billion, seven million, six thousand".