1745910164640 has 96 divisors (see below), whose sum is σ = 5823123929280. Its totient is φ = 438189215744.

The previous prime is 1745910164629. The next prime is 1745910164653. The reversal of 1745910164640 is 464610195471.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1745910164640.

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 15 ways as a sum of consecutive naturals, for example, 106971630 + ... + 106987949.

It is an arithmetic number, because the mean of its divisors is an integer number (60657540930).

Almost surely, 2^{1745910164640} is an apocalyptic number.

1745910164640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1745910164640 is an abundant number, since it is smaller than the sum of its proper divisors (4077213764640).

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

1745910164640 is a wasteful number, since it uses less digits than its factorization.

1745910164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213959614 (or 213959606 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 1745910164640 in words is "one trillion, seven hundred forty-five billion, nine hundred ten million, one hundred sixty-four thousand, six hundred forty".