67667776000 has 320 divisors, whose sum is σ = 185270177664. Its totient is φ = 24446976000.

The previous prime is 67667775941. The next prime is 67667776003. The reversal of 67667776000 is 67776676.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (67667776003) 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, 195007827 + ... + 195008173.

Almost surely, 2^67667776000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67667776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92635088832).

67667776000 is an abundant number, since it is smaller than the sum of its proper divisors (117602401664).

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

67667776000 is a wasteful number, since it uses less digits than its factorization.

67667776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 52.

The spelling of 67667776000 in words is "sixty-seven billion, six hundred sixty-seven million, seven hundred seventy-six thousand".