67936556544 has 640 divisors, whose sum is σ = 213826314240. Its totient is φ = 19031654400.

The previous prime is 67936556537. The next prime is 67936556573. The reversal of 67936556544 is 44565563976.

It is a super-2 number, since 2×67936556544² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 763332052 + ... + 763332140.

It is an arithmetic number, because the mean of its divisors is an integer number (334103616).

Almost surely, 2^67936556544 is an apocalyptic number.

67936556544 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 67936556544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106913157120).

67936556544 is an abundant number, since it is smaller than the sum of its proper divisors (145889757696).

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

67936556544 is a wasteful number, since it uses less digits than its factorization.

67936556544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 206 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 60.

The spelling of 67936556544 in words is "sixty-seven billion, nine hundred thirty-six million, five hundred fifty-six thousand, five hundred forty-four".