67067641872 has 640 divisors, whose sum is σ = 255021772800. Its totient is φ = 16484497920.

The previous prime is 67067641871. The next prime is 67067641873. The reversal of 67067641872 is 27814676076.

It is an interprime number because it is at equal distance from previous prime (67067641871) and next prime (67067641873).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (67067641871) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76473498 + ... + 76474374.

It is an arithmetic number, because the mean of its divisors is an integer number (398471520).

Almost surely, 2^67067641872 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 67067641872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127510886400).

67067641872 is an abundant number, since it is smaller than the sum of its proper divisors (187954130928).

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

67067641872 is a wasteful number, since it uses less digits than its factorization.

67067641872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 67067641872 in words is "sixty-seven billion, sixty-seven million, six hundred forty-one thousand, eight hundred seventy-two".