67440335030640 has 640 divisors, whose sum is σ = 282315980620800. Its totient is φ = 14571143516160.

The previous prime is 67440335030603. The next prime is 67440335030647. The reversal of 67440335030640 is 4603053304476.

67440335030640 is a `hidden beast` number, since 6 + 7 + 4 + 4 + 0 + 335 + 0 + 306 + 4 + 0 = 666.

67440335030640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×67440335030640⁴ (a number of 56 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67440335030647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5193067 + ... + 12721973.

It is an arithmetic number, because the mean of its divisors is an integer number (441118719720).

Almost surely, 2^{67440335030640} is an apocalyptic number.

67440335030640 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 67440335030640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141157990310400).

67440335030640 is an abundant number, since it is smaller than the sum of its proper divisors (214875645590160).

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

67440335030640 is a wasteful number, since it uses less digits than its factorization.

67440335030640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7528982 (or 7528970 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 67440335030640 in words is "sixty-seven trillion, four hundred forty billion, three hundred thirty-five million, thirty thousand, six hundred forty".