67133468160 has 240 divisors, whose sum is σ = 253639591920. Its totient is φ = 16274718720.

The previous prime is 67133468153. The next prime is 67133468201. The reversal of 67133468160 is 6186433176.

67133468160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120996 + ... + 385884.

It is an arithmetic number, because the mean of its divisors is an integer number (1056831633).

Almost surely, 2^67133468160 is an apocalyptic number.

67133468160 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 67133468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126819795960).

67133468160 is an abundant number, since it is smaller than the sum of its proper divisors (186506123760).

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

67133468160 is a wasteful number, since it uses less digits than its factorization.

67133468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264929 (or 264910 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 67133468160 in words is "sixty-seven billion, one hundred thirty-three million, four hundred sixty-eight thousand, one hundred sixty".