67924225370304 has 1120 divisors, whose sum is σ = 218984323219200. Its totient is φ = 20752320061440.

The previous prime is 67924225370273. The next prime is 67924225370317. The reversal of 67924225370304 is 40307352242976.

It is a happy number.

67924225370304 is a `hidden beast` number, since 6 + 7 + 9 + 242 + 25 + 3 + 70 + 304 = 666.

67924225370304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×67924225370304³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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 159 ways as a sum of consecutive naturals, for example, 147341052634 + ... + 147341053094.

It is an arithmetic number, because the mean of its divisors is an integer number (195521717160).

Almost surely, 2^{67924225370304} is an apocalyptic number.

67924225370304 is a gapful number since it is divisible by the number (64) 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 67924225370304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109492161609600).

67924225370304 is an abundant number, since it is smaller than the sum of its proper divisors (151060097848896).

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

67924225370304 is a wasteful number, since it uses less digits than its factorization.

67924225370304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 67924225370304 in words is "sixty-seven trillion, nine hundred twenty-four billion, two hundred twenty-five million, three hundred seventy thousand, three hundred four".