67874636928 has 384 divisors, whose sum is σ = 221792472000. Its totient is φ = 18286829568.

The previous prime is 67874636923. The next prime is 67874637029. The reversal of 67874636928 is 82963647876.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (67874636923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133348738 + ... + 133349246.

Almost surely, 2^67874636928 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 67874636928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110896236000).

67874636928 is an abundant number, since it is smaller than the sum of its proper divisors (153917835072).

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

67874636928 is a wasteful number, since it uses less digits than its factorization.

67874636928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 913 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 66.

The spelling of 67874636928 in words is "sixty-seven billion, eight hundred seventy-four million, six hundred thirty-six thousand, nine hundred twenty-eight".