67217401788768 has 2304 divisors, whose sum is σ = 275215525079040. Its totient is φ = 15601169203200.

The previous prime is 67217401788727. The next prime is 67217401788769. The reversal of 67217401788768 is 86788710471276.

67217401788768 is a `hidden beast` number, since 6 + 7 + 2 + 17 + 401 + 78 + 87 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 67217401788696 and 67217401788705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67217401788769) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18006267030 + ... + 18006270762.

It is an arithmetic number, because the mean of its divisors is an integer number (119451182760).

Almost surely, 2^{67217401788768} is an apocalyptic number.

67217401788768 is a gapful number since it is divisible by the number (68) 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 67217401788768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137607762539520).

67217401788768 is an abundant number, since it is smaller than the sum of its proper divisors (207998123290272).

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

67217401788768 is a wasteful number, since it uses less digits than its factorization.

67217401788768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 354041856, while the sum is 72.

The spelling of 67217401788768 in words is "sixty-seven trillion, two hundred seventeen billion, four hundred one million, seven hundred eighty-eight thousand, seven hundred sixty-eight".