67106645376 has 384 divisors, whose sum is σ = 205651094400. Its totient is φ = 19267338240.

The previous prime is 67106645341. The next prime is 67106645429. The reversal of 67106645376 is 67354660176.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119194471 + ... + 119195033.

It is an arithmetic number, because the mean of its divisors is an integer number (535549725).

Almost surely, 2^67106645376 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 67106645376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102825547200).

67106645376 is an abundant number, since it is smaller than the sum of its proper divisors (138544449024).

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

67106645376 is a wasteful number, since it uses less digits than its factorization.

67106645376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 67106645376 in words is "sixty-seven billion, one hundred six million, six hundred forty-five thousand, three hundred seventy-six".