1710787864968 has 384 divisors, whose sum is σ = 5899615787520. Its totient is φ = 435789434880.

The previous prime is 1710787864939. The next prime is 1710787864987. The reversal of 1710787864968 is 8694687870171.

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

It is a junction number, because it is equal to n+sod(n) for n = 1710787864896 and 1710787864905.

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 95 ways as a sum of consecutive naturals, for example, 33186333 + ... + 33237843.

It is an arithmetic number, because the mean of its divisors is an integer number (15363582780).

Almost surely, 2^{1710787864968} is an apocalyptic number.

1710787864968 is a gapful number since it is divisible by the number (18) 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 1710787864968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949807893760).

1710787864968 is an abundant number, since it is smaller than the sum of its proper divisors (4188827922552).

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

1710787864968 is a wasteful number, since it uses less digits than its factorization.

1710787864968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51717 (or 51710 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 72.

The spelling of 1710787864968 in words is "one trillion, seven hundred ten billion, seven hundred eighty-seven million, eight hundred sixty-four thousand, nine hundred sixty-eight".