67998939567552 has 168 divisors, whose sum is σ = 223981162615392. Its totient is φ = 19320929740800.

The previous prime is 67998939567541. The next prime is 67998939567563. The reversal of 67998939567552 is 25576593989976.

67998939567552 is a `hidden beast` number, since 6 + 7 + 9 + 9 + 8 + 9 + 39 + 567 + 5 + 5 + 2 = 666.

67998939567552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (67998939567541) and next prime (67998939567563).

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 45858099 + ... + 47317682.

It is an arithmetic number, because the mean of its divisors is an integer number (1333221206044).

Almost surely, 2^{67998939567552} is an apocalyptic number.

It is an amenable number.

67998939567552 is an abundant number, since it is smaller than the sum of its proper divisors (155982223047840).

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

67998939567552 is a wasteful number, since it uses less digits than its factorization.

67998939567552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93175987 (or 93175974 counting only the distinct ones).

The product of its digits is 69441624000, while the sum is 90.

The spelling of 67998939567552 in words is "sixty-seven trillion, nine hundred ninety-eight billion, nine hundred thirty-nine million, five hundred sixty-seven thousand, five hundred fifty-two".