67784381038080 has 1280 divisors, whose sum is σ = 280631858411520. Its totient is φ = 15187909017600.

The previous prime is 67784381038079. The next prime is 67784381038093. The reversal of 67784381038080 is 8083018348776.

67784381038080 is a `hidden beast` number, since 6 + 77 + 84 + 38 + 1 + 0 + 380 + 80 = 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 (63).

It is a junction number, because it is equal to n+sod(n) for n = 67784381037999 and 67784381038017.

It is a congruent number.

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, 9060867940 + ... + 9060875420.

It is an arithmetic number, because the mean of its divisors is an integer number (219243639384).

Almost surely, 2^{67784381038080} is an apocalyptic number.

67784381038080 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 67784381038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140315929205760).

67784381038080 is an abundant number, since it is smaller than the sum of its proper divisors (212847477373440).

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

67784381038080 is a wasteful number, since it uses less digits than its factorization.

67784381038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7888 (or 7866 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 67784381038080 in words is "sixty-seven trillion, seven hundred eighty-four billion, three hundred eighty-one million, thirty-eight thousand, eighty".