67134300036440 has 1024 divisors, whose sum is σ = 200283562967040. Its totient is φ = 19678152130560.

The previous prime is 67134300036431. The next prime is 67134300036457. The reversal of 67134300036440 is 4463000343176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 85304065727 + ... + 85304066513.

It is an arithmetic number, because the mean of its divisors is an integer number (195589416960).

Almost surely, 2^{67134300036440} 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 67134300036440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100141781483520).

67134300036440 is an abundant number, since it is smaller than the sum of its proper divisors (133149262930600).

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

67134300036440 is a wasteful number, since it uses less digits than its factorization.

67134300036440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 41.

The spelling of 67134300036440 in words is "sixty-seven trillion, one hundred thirty-four billion, three hundred million, thirty-six thousand, four hundred forty".