67789478085120 has 1280 divisors, whose sum is σ = 270795753676800. Its totient is φ = 15932939304960.

The previous prime is 67789478085079. The next prime is 67789478085163. The reversal of 67789478085120 is 2158087498776.

67789478085120 is a `hidden beast` number, since 6 + 7 + 7 + 89 + 478 + 0 + 8 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 3823640416 + ... + 3823658144.

It is an arithmetic number, because the mean of its divisors is an integer number (211559182560).

Almost surely, 2^{67789478085120} is an apocalyptic number.

67789478085120 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 67789478085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135397876838400).

67789478085120 is an abundant number, since it is smaller than the sum of its proper divisors (203006275591680).

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

67789478085120 is a wasteful number, since it uses less digits than its factorization.

67789478085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17926 (or 17904 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 72.

The spelling of 67789478085120 in words is "sixty-seven trillion, seven hundred eighty-nine billion, four hundred seventy-eight million, eighty-five thousand, one hundred twenty".