67677007011000 has 64 divisors (see below), whose sum is σ = 211152261883680. Its totient is φ = 18047201868800.

The previous prime is 67677007010981. The next prime is 67677007011007. The reversal of 67677007011000 is 11070077676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67677007011007) 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, 11279498169 + ... + 11279504168.

Almost surely, 2^{67677007011000} is an apocalyptic number.

67677007011000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67677007011000 is an abundant number, since it is smaller than the sum of its proper divisors (143475254872680).

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

67677007011000 is a wasteful number, since it uses less digits than its factorization.

67677007011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22559002361 (or 22559002347 counting only the distinct ones).

The product of its (nonzero) digits is 86436, while the sum is 42.

Adding to 67677007011000 its reverse (11070077676), we get a palindrome (67688077088676).

The spelling of 67677007011000 in words is "sixty-seven trillion, six hundred seventy-seven billion, seven million, eleven thousand".