67251824640 has 1728 divisors, whose sum is σ = 324970289280. Its totient is φ = 12899450880.

The previous prime is 67251824569. The next prime is 67251824657. The reversal of 67251824640 is 4642815276.

67251824640 is a `hidden beast` number, since 6 + 7 + 2 + 5 + 182 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×67251824640² (a number of 22 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 5173217274 + ... + 5173217286.

It is an arithmetic number, because the mean of its divisors is an integer number (188061510).

Almost surely, 2^67251824640 is an apocalyptic number.

67251824640 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 67251824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162485144640).

67251824640 is an abundant number, since it is smaller than the sum of its proper divisors (257718464640).

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

67251824640 is an equidigital number, since it uses as much as digits as its factorization.

67251824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 67251824640 in words is "sixty-seven billion, two hundred fifty-one million, eight hundred twenty-four thousand, six hundred forty".