67318312345632 has 480 divisors, whose sum is σ = 202272433735680. Its totient is φ = 21957231790080.

The previous prime is 67318312345601. The next prime is 67318312345699. The reversal of 67318312345632 is 23654321381376.

67318312345632 is a `hidden beast` number, since 6 + 7 + 3 + 18 + 31 + 2 + 34 + 563 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28249395513 + ... + 28249397895.

It is an arithmetic number, because the mean of its divisors is an integer number (421400903616).

Almost surely, 2^{67318312345632} 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 67318312345632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101136216867840).

67318312345632 is an abundant number, since it is smaller than the sum of its proper divisors (134954121390048).

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

67318312345632 is a wasteful number, since it uses less digits than its factorization.

67318312345632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3301 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 67318312345632 in words is "sixty-seven trillion, three hundred eighteen billion, three hundred twelve million, three hundred forty-five thousand, six hundred thirty-two".