67661335371100 has 72 divisors (see below), whose sum is σ = 148838886701568. Its totient is φ = 26694403262400.

The previous prime is 67661335371089. The next prime is 67661335371103. The reversal of 67661335371100 is 117353316676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67661335371103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1676866 + ... + 11753065.

It is an arithmetic number, because the mean of its divisors is an integer number (2067206759744).

Almost surely, 2^{67661335371100} is an apocalyptic number.

It is an amenable number.

67661335371100 is an abundant number, since it is smaller than the sum of its proper divisors (81177551330468).

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

67661335371100 is a wasteful number, since it uses less digits than its factorization.

67661335371100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13430635 (or 13430628 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 49.

Adding to 67661335371100 its reverse (117353316676), we get a palindrome (67778688687776).

The spelling of 67661335371100 in words is "sixty-seven trillion, six hundred sixty-one billion, three hundred thirty-five million, three hundred seventy-one thousand, one hundred".