67440346467416 has 128 divisors (see below), whose sum is σ = 140867685235200. Its totient is φ = 30058587095040.

The previous prime is 67440346467397. The next prime is 67440346467547. The reversal of 67440346467416 is 61476464304476.

67440346467416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6564810056 + ... + 6564820328.

It is an arithmetic number, because the mean of its divisors is an integer number (1100528790900).

Almost surely, 2^{67440346467416} 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 67440346467416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70433842617600).

67440346467416 is an abundant number, since it is smaller than the sum of its proper divisors (73427338767784).

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

67440346467416 is a wasteful number, since it uses less digits than its factorization.

67440346467416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14429 (or 14425 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 62.

The spelling of 67440346467416 in words is "sixty-seven trillion, four hundred forty billion, three hundred forty-six million, four hundred sixty-seven thousand, four hundred sixteen".