67744089504 has 480 divisors, whose sum is σ = 249883159680. Its totient is φ = 17526233088.

The previous prime is 67744089499. The next prime is 67744089509. The reversal of 67744089504 is 40598044776.

67744089504 is a `hidden beast` number, since 6 + 77 + 440 + 89 + 50 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (67744089499) and next prime (67744089509).

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

It is not an unprimeable number, because it can be changed into a prime (67744089509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12498507 + ... + 12503925.

It is an arithmetic number, because the mean of its divisors is an integer number (520589916).

Almost surely, 2^67744089504 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 67744089504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124941579840).

67744089504 is an abundant number, since it is smaller than the sum of its proper divisors (182139070176).

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

67744089504 is a wasteful number, since it uses less digits than its factorization.

67744089504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 67744089504 in words is "sixty-seven billion, seven hundred forty-four million, eighty-nine thousand, five hundred four".