67348958976 has 576 divisors, whose sum is σ = 223115518080. Its totient is φ = 19906560000.

The previous prime is 67348958959. The next prime is 67348959019. The reversal of 67348958976 is 67985984376.

67348958976 is a `hidden beast` number, since 6 + 7 + 3 + 489 + 58 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 372093606 + ... + 372093786.

It is an arithmetic number, because the mean of its divisors is an integer number (387353330).

Almost surely, 2^67348958976 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 67348958976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111557759040).

67348958976 is an abundant number, since it is smaller than the sum of its proper divisors (155766559104).

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

67348958976 is a wasteful number, since it uses less digits than its factorization.

67348958976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 67348958976 in words is "sixty-seven billion, three hundred forty-eight million, nine hundred fifty-eight thousand, nine hundred seventy-six".