67735146864 has 240 divisors, whose sum is σ = 222682711680. Its totient is φ = 17543877120.

The previous prime is 67735146859. The next prime is 67735146887. The reversal of 67735146864 is 46864153776.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 9646747 + ... + 9653765.

It is an arithmetic number, because the mean of its divisors is an integer number (927844632).

Almost surely, 2^67735146864 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 67735146864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111341355840).

67735146864 is an abundant number, since it is smaller than the sum of its proper divisors (154947564816).

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

67735146864 is a wasteful number, since it uses less digits than its factorization.

67735146864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7428 (or 7415 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 57.

The spelling of 67735146864 in words is "sixty-seven billion, seven hundred thirty-five million, one hundred forty-six thousand, eight hundred sixty-four".