67378464 has 72 divisors (see below), whose sum is σ = 192825360. Its totient is φ = 22316928.

The previous prime is 67378447. The next prime is 67378481. The reversal of 67378464 is 46487376.

It is an interprime number because it is at equal distance from previous prime (67378447) and next prime (67378481).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50899 + ... + 52205.

It is an arithmetic number, because the mean of its divisors is an integer number (2678130).

Almost surely, 2^67378464 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 67378464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96412680).

67378464 is an abundant number, since it is smaller than the sum of its proper divisors (125446896).

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

67378464 is a wasteful number, since it uses less digits than its factorization.

67378464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1491 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 67378464 is about 8208.4385847736. The cubic root of 67378464 is about 406.9181257070.

The spelling of 67378464 in words is "sixty-seven million, three hundred seventy-eight thousand, four hundred sixty-four".