2078643168000 has 1152 divisors, whose sum is σ = 9229199616000. Its totient is φ = 450087321600.

The previous prime is 2078643167987. The next prime is 2078643168023. The reversal of 2078643168000 is 8613468702.

2078643168000 is a `hidden beast` number, since 207 + 8 + 6 + 431 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114902956 + ... + 114921044.

It is an arithmetic number, because the mean of its divisors is an integer number (8011458000).

Almost surely, 2^{2078643168000} is an apocalyptic number.

2078643168000 is a gapful number since it is divisible by the number (20) 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 2078643168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614599808000).

2078643168000 is an abundant number, since it is smaller than the sum of its proper divisors (7150556448000).

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

2078643168000 is a wasteful number, since it uses less digits than its factorization.

2078643168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18155 (or 18125 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2078643168000 in words is "two trillion, seventy-eight billion, six hundred forty-three million, one hundred sixty-eight thousand".