67264888320 has 1120 divisors, whose sum is σ = 291968455680. Its totient is φ = 14511882240.

The previous prime is 67264888297. The next prime is 67264888337. The reversal of 67264888320 is 2388846276.

67264888320 is a `hidden beast` number, since 67 + 2 + 6 + 488 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 248209785 + ... + 248210055.

Almost surely, 2^67264888320 is an apocalyptic number.

67264888320 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 67264888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145984227840).

67264888320 is an abundant number, since it is smaller than the sum of its proper divisors (224703567360).

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

67264888320 is an equidigital number, since it uses as much as digits as its factorization.

67264888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 67264888320 in words is "sixty-seven billion, two hundred sixty-four million, eight hundred eighty-eight thousand, three hundred twenty".