67935780864 has 600 divisors, whose sum is σ = 237507798528. Its totient is φ = 18951045120.

The previous prime is 67935780839. The next prime is 67935780907. The reversal of 67935780864 is 46808753976.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659570637 + ... + 659570739.

Almost surely, 2^67935780864 is an apocalyptic number.

67935780864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67935780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118753899264).

67935780864 is an abundant number, since it is smaller than the sum of its proper divisors (169572017664).

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

67935780864 is an equidigital number, since it uses as much as digits as its factorization.

67935780864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 67935780864 in words is "sixty-seven billion, nine hundred thirty-five million, seven hundred eighty thousand, eight hundred sixty-four".