67947381825120 has 144 divisors (see below), whose sum is σ = 264994789157280. Its totient is φ = 15530830129152.

The previous prime is 67947381825119. The next prime is 67947381825139. The reversal of 67947381825120 is 2152818374976.

67947381825120 is a `hidden beast` number, since 6 + 7 + 9 + 4 + 7 + 38 + 1 + 82 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3370395765 + ... + 3370415924.

It is an arithmetic number, because the mean of its divisors is an integer number (1840241591370).

It is a 2-persistent number, because it is pandigital, and so is 2⋅67947381825120 = 135894763650240, but 3⋅67947381825120 = 203842145475360 is not.

Almost surely, 2^{67947381825120} is an apocalyptic number.

67947381825120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67947381825120 is an abundant number, since it is smaller than the sum of its proper divisors (197047407332160).

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

67947381825120 is a wasteful number, since it uses less digits than its factorization.

67947381825120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6740811717 (or 6740811706 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 67947381825120 in words is "sixty-seven trillion, nine hundred forty-seven billion, three hundred eighty-one million, eight hundred twenty-five thousand, one hundred twenty".