67504967405568 has 3744 divisors, whose sum is σ = 273738910878720. Its totient is φ = 16554295296000.

The previous prime is 67504967405521. The next prime is 67504967405657. The reversal of 67504967405568 is 86550476940576.

67504967405568 is a `hidden beast` number, since 6 + 7 + 5 + 0 + 4 + 9 + 67 + 4 + 0 + 556 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 = 67504967405496 and 67504967405505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1646462619628 + ... + 1646462619668.

Almost surely, 2^{67504967405568} 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 67504967405568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136869455439360).

67504967405568 is an abundant number, since it is smaller than the sum of its proper divisors (206233943473152).

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

67504967405568 is an equidigital number, since it uses as much as digits as its factorization.

67504967405568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 67504967405568 in words is "sixty-seven trillion, five hundred four billion, nine hundred sixty-seven million, four hundred five thousand, five hundred sixty-eight".