67305350725632 has 320 divisors, whose sum is σ = 201162469048200. Its totient is φ = 22426146570240.

The previous prime is 67305350725601. The next prime is 67305350725747. The reversal of 67305350725632 is 23652705350376.

It is a happy number.

67305350725632 is a `hidden beast` number, since 6 + 7 + 3 + 0 + 5 + 3 + 5 + 0 + 72 + 563 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11893503219 + ... + 11893508877.

Almost surely, 2^{67305350725632} 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 67305350725632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100581234524100).

67305350725632 is an abundant number, since it is smaller than the sum of its proper divisors (133857118322568).

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

67305350725632 is an frugal number, since it uses more digits than its factorization.

67305350725632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10182 (or 10145 counting only the distinct ones).

The product of its (nonzero) digits is 23814000, while the sum is 54.

The spelling of 67305350725632 in words is "sixty-seven trillion, three hundred five billion, three hundred fifty million, seven hundred twenty-five thousand, six hundred thirty-two".