67728579164064 has 864 divisors, whose sum is σ = 239916483031680. Its totient is φ = 17745657126912.

The previous prime is 67728579164033. The next prime is 67728579164087. The reversal of 67728579164064 is 46046197582776.

67728579164064 is a `hidden beast` number, since 6 + 7 + 7 + 2 + 8 + 579 + 1 + 6 + 40 + 6 + 4 = 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 = 67728579163983 and 67728579164001.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60310399407 + ... + 60310400529.

It is an arithmetic number, because the mean of its divisors is an integer number (277681114620).

Almost surely, 2^{67728579164064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67728579164064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119958241515840).

67728579164064 is an abundant number, since it is smaller than the sum of its proper divisors (172187903867616).

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

67728579164064 is a wasteful number, since it uses less digits than its factorization.

67728579164064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 67728579164064 in words is "sixty-seven trillion, seven hundred twenty-eight billion, five hundred seventy-nine million, one hundred sixty-four thousand, sixty-four".