2000068814016 has 672 divisors, whose sum is σ = 7277248742400. Its totient is φ = 511190507520.

The previous prime is 2000068813997. The next prime is 2000068814027. The reversal of 2000068814016 is 6104188600002.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 219566070 + ... + 219575178.

It is an arithmetic number, because the mean of its divisors is an integer number (10829239200).

Almost surely, 2^{2000068814016} is an apocalyptic number.

2000068814016 is a gapful number since it is divisible by the number (26) 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 2000068814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638624371200).

2000068814016 is an abundant number, since it is smaller than the sum of its proper divisors (5277179928384).

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

2000068814016 is a wasteful number, since it uses less digits than its factorization.

2000068814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9277 (or 9264 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 2000068814016 in words is "two trillion, sixty-eight million, eight hundred fourteen thousand, sixteen".