67168745501652 has 384 divisors, whose sum is σ = 185120474112000. Its totient is φ = 21026660175360.

The previous prime is 67168745501617. The next prime is 67168745501731. The reversal of 67168745501652 is 25610554786176.

It is a happy number.

67168745501652 is a `hidden beast` number, since 6 + 7 + 1 + 6 + 8 + 74 + 5 + 501 + 6 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 67168745501652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23089976374 + ... + 23089979282.

It is an arithmetic number, because the mean of its divisors is an integer number (482084568000).

Almost surely, 2^{67168745501652} 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 67168745501652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92560237056000).

67168745501652 is an abundant number, since it is smaller than the sum of its proper divisors (117951728610348).

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

67168745501652 is a wasteful number, since it uses less digits than its factorization.

67168745501652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 67168745501652 in words is "sixty-seven trillion, one hundred sixty-eight billion, seven hundred forty-five million, five hundred one thousand, six hundred fifty-two".