67606342410240 has 1344 divisors, whose sum is σ = 252803142408960. Its totient is φ = 16676919705600.

The previous prime is 67606342410223. The next prime is 67606342410251. The reversal of 67606342410240 is 4201424360676.

67606342410240 is a `hidden beast` number, since 6 + 7 + 6 + 0 + 634 + 2 + 4 + 1 + 0 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26501896965 + ... + 26501899515.

Almost surely, 2^{67606342410240} is an apocalyptic number.

67606342410240 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 67606342410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126401571204480).

67606342410240 is an abundant number, since it is smaller than the sum of its proper divisors (185196799998720).

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

67606342410240 is a wasteful number, since it uses less digits than its factorization.

67606342410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 67606342410240 in words is "sixty-seven trillion, six hundred six billion, three hundred forty-two million, four hundred ten thousand, two hundred forty".