1749249660960 has 384 divisors, whose sum is σ = 6560638882560. Its totient is φ = 433736368128.

The previous prime is 1749249660947. The next prime is 1749249660973. The reversal of 1749249660960 is 690669429471.

1749249660960 is a `hidden beast` number, since 17 + 4 + 9 + 2 + 4 + 9 + 6 + 609 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1749249660947) and next prime (1749249660973).

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 63 ways as a sum of consecutive naturals, for example, 5952034 + ... + 6239006.

It is an arithmetic number, because the mean of its divisors is an integer number (17084997090).

Almost surely, 2^{1749249660960} is an apocalyptic number.

1749249660960 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 1749249660960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280319441280).

1749249660960 is an abundant number, since it is smaller than the sum of its proper divisors (4811389221600).

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

1749249660960 is a wasteful number, since it uses less digits than its factorization.

1749249660960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287097 (or 287083 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 1749249660960 in words is "one trillion, seven hundred forty-nine billion, two hundred forty-nine million, six hundred sixty thousand, nine hundred sixty".