68109997824 has 864 divisors, whose sum is σ = 238011863040. Its totient is φ = 19160064000.

The previous prime is 68109997811. The next prime is 68109997843. The reversal of 68109997824 is 42879990186.

68109997824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 959295709 + ... + 959295779.

Almost surely, 2^68109997824 is an apocalyptic number.

68109997824 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 68109997824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119005931520).

68109997824 is an abundant number, since it is smaller than the sum of its proper divisors (169901865216).

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

68109997824 is a wasteful number, since it uses less digits than its factorization.

68109997824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 68109997824 in words is "sixty-eight billion, one hundred nine million, nine hundred ninety-seven thousand, eight hundred twenty-four".