67321038919680 has 5760 divisors, whose sum is σ = 330088145587200. Its totient is φ = 12789375565824.

The previous prime is 67321038919639. The next prime is 67321038919681. The reversal of 67321038919680 is 8691983012376.

67321038919680 is a `hidden beast` number, since 6 + 73 + 21 + 0 + 389 + 1 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67321038919681) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 428796426162 + ... + 428796426318.

It is an arithmetic number, because the mean of its divisors is an integer number (57306969720).

Almost surely, 2^{67321038919680} is an apocalyptic number.

67321038919680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67321038919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165044072793600).

67321038919680 is an abundant number, since it is smaller than the sum of its proper divisors (262767106667520).

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

67321038919680 is a wasteful number, since it uses less digits than its factorization.

67321038919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 67321038919680 in words is "sixty-seven trillion, three hundred twenty-one billion, thirty-eight million, nine hundred nineteen thousand, six hundred eighty".