2007718696704 has 432 divisors, whose sum is σ = 6452761093632. Its totient is φ = 541852557312.

The previous prime is 2007718696673. The next prime is 2007718696717. The reversal of 2007718696704 is 4076968177002.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 851809894 + ... + 851812250.

It is an arithmetic number, because the mean of its divisors is an integer number (14936946976).

Almost surely, 2^{2007718696704} is an apocalyptic number.

2007718696704 is a gapful number since it is divisible by the number (24) 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 2007718696704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226380546816).

2007718696704 is an abundant number, since it is smaller than the sum of its proper divisors (4445042396928).

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

2007718696704 is an equidigital number, since it uses as much as digits as its factorization.

2007718696704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

The spelling of 2007718696704 in words is "two trillion, seven billion, seven hundred eighteen million, six hundred ninety-six thousand, seven hundred four".