67808494638720 has 3584 divisors, whose sum is σ = 288856123315200. Its totient is φ = 15040759726080.

The previous prime is 67808494638697. The next prime is 67808494638791. The reversal of 67808494638720 is 2783649480876.

67808494638720 is a `hidden beast` number, since 6 + 7 + 8 + 0 + 8 + 494 + 63 + 8 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 633724248907 + ... + 633724249013.

It is an arithmetic number, because the mean of its divisors is an integer number (80596016550).

Almost surely, 2^{67808494638720} is an apocalyptic number.

67808494638720 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 67808494638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144428061657600).

67808494638720 is an abundant number, since it is smaller than the sum of its proper divisors (221047628676480).

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

67808494638720 is a wasteful number, since it uses less digits than its factorization.

67808494638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 67808494638720 in words is "sixty-seven trillion, eight hundred eight billion, four hundred ninety-four million, six hundred thirty-eight thousand, seven hundred twenty".