67438264320 has 720 divisors, whose sum is σ = 272348818560. Its totient is φ = 15118368768.

The previous prime is 67438264319. The next prime is 67438264379. The reversal of 67438264320 is 2346283476.

67438264320 is a `hidden beast` number, since 67 + 4 + 3 + 8 + 264 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376749991 + ... + 376750169.

It is an arithmetic number, because the mean of its divisors is an integer number (378262248).

Almost surely, 2^67438264320 is an apocalyptic number.

67438264320 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 67438264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136174409280).

67438264320 is an abundant number, since it is smaller than the sum of its proper divisors (204910554240).

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

67438264320 is a wasteful number, since it uses less digits than its factorization.

67438264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 269 counting only the distinct ones).

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

The spelling of 67438264320 in words is "sixty-seven billion, four hundred thirty-eight million, two hundred sixty-four thousand, three hundred twenty".