68309939444544 has 336 divisors, whose sum is σ = 238740837768576. Its totient is φ = 18228835123200.

The previous prime is 68309939444489. The next prime is 68309939444639. The reversal of 68309939444544 is 44544493990386.

68309939444544 is a `hidden beast` number, since 6 + 8 + 3 + 0 + 9 + 9 + 39 + 4 + 44 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5175504 + ... + 12783024.

Almost surely, 2^{68309939444544} is an apocalyptic number.

68309939444544 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 68309939444544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119370418884288).

68309939444544 is an abundant number, since it is smaller than the sum of its proper divisors (170430898324032).

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

68309939444544 is a wasteful number, since it uses less digits than its factorization.

68309939444544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607694 (or 7607681 counting only the distinct ones).

The product of its (nonzero) digits is 1612431360, while the sum is 72.

The spelling of 68309939444544 in words is "sixty-eight trillion, three hundred nine billion, nine hundred thirty-nine million, four hundred forty-four thousand, five hundred forty-four".