67368917952 has 168 divisors, whose sum is σ = 220822333056. Its totient is φ = 19236432384.

The previous prime is 67368917923. The next prime is 67368917963. The reversal of 67368917952 is 25971986376.

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

It is a super-2 number, since 2×67368917952² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 67368917952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8168743 + ... + 8176985.

Almost surely, 2^67368917952 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 67368917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110411166528).

67368917952 is an abundant number, since it is smaller than the sum of its proper divisors (153453415104).

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

67368917952 is a wasteful number, since it uses less digits than its factorization.

67368917952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10295 (or 10282 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 67368917952 in words is "sixty-seven billion, three hundred sixty-eight million, nine hundred seventeen thousand, nine hundred fifty-two".