67666464 has 72 divisors (see below), whose sum is σ = 196560000. Its totient is φ = 22071168.

The previous prime is 67666463. The next prime is 67666493. The reversal of 67666464 is 46466676.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (67666463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11037 + ... + 16035.

It is an arithmetic number, because the mean of its divisors is an integer number (2730000).

Almost surely, 2^67666464 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 67666464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280000).

67666464 is an abundant number, since it is smaller than the sum of its proper divisors (128893536).

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

67666464 is a wasteful number, since it uses less digits than its factorization.

67666464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062 (or 5051 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 67666464 is about 8225.9628007912. The cubic root of 67666464 is about 407.4970735108.

The spelling of 67666464 in words is "sixty-seven million, six hundred sixty-six thousand, four hundred sixty-four".