1744949006960 has 40 divisors (see below), whose sum is σ = 4068499443120. Its totient is φ = 696002312192.

The previous prime is 1744949006891. The next prime is 1744949006971. The reversal of 1744949006960 is 696009494471.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1744949006960.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 30866750 + ... + 30923229.

It is an arithmetic number, because the mean of its divisors is an integer number (101712486078).

Almost surely, 2^{1744949006960} is an apocalyptic number.

1744949006960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1744949006960 is an abundant number, since it is smaller than the sum of its proper divisors (2323550436160).

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

1744949006960 is a wasteful number, since it uses less digits than its factorization.

1744949006960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61790345 (or 61790339 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 59.

The spelling of 1744949006960 in words is "one trillion, seven hundred forty-four billion, nine hundred forty-nine million, six thousand, nine hundred sixty".