1705064648640 has 224 divisors, whose sum is σ = 5651009556480. Its totient is φ = 435072000000.

The previous prime is 1705064648629. The next prime is 1705064648657. The reversal of 1705064648640 is 468464605071.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2326765 + ... + 2970515.

Almost surely, 2^{1705064648640} is an apocalyptic number.

1705064648640 is a gapful number since it is divisible by the number (10) 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 1705064648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825504778240).

1705064648640 is an abundant number, since it is smaller than the sum of its proper divisors (3945944907840).

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

1705064648640 is a wasteful number, since it uses less digits than its factorization.

1705064648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643891 (or 643881 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 1705064648640 in words is "one trillion, seven hundred five billion, sixty-four million, six hundred forty-eight thousand, six hundred forty".