67047745174872 has 256 divisors, whose sum is σ = 216968250654720. Its totient is φ = 16755804633600.

The previous prime is 67047745174871. The next prime is 67047745174901. The reversal of 67047745174872 is 27847154774076.

It is a junction number, because it is equal to n+sod(n) for n = 67047745174797 and 67047745174806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67047745174871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6528273 + ... + 13293375.

It is an arithmetic number, because the mean of its divisors is an integer number (847532229120).

Almost surely, 2^{67047745174872} is an apocalyptic number.

67047745174872 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67047745174872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108484125327360).

67047745174872 is an abundant number, since it is smaller than the sum of its proper divisors (149920505479848).

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

67047745174872 is a wasteful number, since it uses less digits than its factorization.

67047745174872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6765334 (or 6765330 counting only the distinct ones).

The product of its (nonzero) digits is 516311040, while the sum is 69.

The spelling of 67047745174872 in words is "sixty-seven trillion, forty-seven billion, seven hundred forty-five million, one hundred seventy-four thousand, eight hundred seventy-two".