67145075730432 has 432 divisors, whose sum is σ = 225642952735200. Its totient is φ = 19179711774720.

The previous prime is 67145075730409. The next prime is 67145075730487. The reversal of 67145075730432 is 23403757054176.

67145075730432 is a `hidden beast` number, since 6 + 7 + 14 + 50 + 7 + 573 + 0 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×67145075730432² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6032253507 + ... + 6032264637.

It is an arithmetic number, because the mean of its divisors is an integer number (522321649850).

Almost surely, 2^{67145075730432} 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 67145075730432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112821476367600).

67145075730432 is an abundant number, since it is smaller than the sum of its proper divisors (158497877004768).

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

67145075730432 is a wasteful number, since it uses less digits than its factorization.

67145075730432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17852 (or 17822 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 67145075730432 in words is "sixty-seven trillion, one hundred forty-five billion, seventy-five million, seven hundred thirty thousand, four hundred thirty-two".