67378791168000 has 4608 divisors, whose sum is σ = 298848172896000. Its totient is φ = 15071654707200.

The previous prime is 67378791167981. The next prime is 67378791168049. The reversal of 67378791168000 is 86119787376.

67378791168000 is a `hidden beast` number, since 6 + 7 + 378 + 79 + 116 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2323406591986 + ... + 2323406592014.

Almost surely, 2^{67378791168000} is an apocalyptic number.

67378791168000 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 67378791168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149424086448000).

67378791168000 is an abundant number, since it is smaller than the sum of its proper divisors (231469381728000).

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

67378791168000 is an equidigital number, since it uses as much as digits as its factorization.

67378791168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 67378791168000 in words is "sixty-seven trillion, three hundred seventy-eight billion, seven hundred ninety-one million, one hundred sixty-eight thousand".