67133084480 has 560 divisors, whose sum is σ = 212060332800. Its totient is φ = 19789946880.

The previous prime is 67133084479. The next prime is 67133084483. The reversal of 67133084480 is 8448033176.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67133084483) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 754304276 + ... + 754304364.

Almost surely, 2^67133084480 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 67133084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106030166400).

67133084480 is an abundant number, since it is smaller than the sum of its proper divisors (144927248320).

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

67133084480 is an equidigital number, since it uses as much as digits as its factorization.

67133084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 67133084480 in words is "sixty-seven billion, one hundred thirty-three million, eighty-four thousand, four hundred eighty".