67161974880 has 768 divisors, whose sum is σ = 286798288896. Its totient is φ = 12757893120.

The previous prime is 67161974837. The next prime is 67161974881. The reversal of 67161974880 is 8847916176.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 67161974880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67161974881) 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, 54293622 + ... + 54294858.

It is an arithmetic number, because the mean of its divisors is an integer number (373435272).

Almost surely, 2^67161974880 is an apocalyptic number.

67161974880 is a gapful number since it is divisible by the number (60) 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 67161974880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143399144448).

67161974880 is an abundant number, since it is smaller than the sum of its proper divisors (219636314016).

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

67161974880 is a wasteful number, since it uses less digits than its factorization.

67161974880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 67161974880 in words is "sixty-seven billion, one hundred sixty-one million, nine hundred seventy-four thousand, eight hundred eighty".