1740166149564 has 96 divisors (see below), whose sum is σ = 4565653243200. Its totient is φ = 573118156800.

The previous prime is 1740166149541. The next prime is 1740166149569. The reversal of 1740166149564 is 4659416610471.

1740166149564 is a `hidden beast` number, since 1 + 7 + 4 + 0 + 1 + 66 + 14 + 9 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1740166149564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1740166149569) by changing a digit.

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, 6157882 + ... + 6434270.

It is an arithmetic number, because the mean of its divisors is an integer number (47558887950).

Almost surely, 2^{1740166149564} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1740166149564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282826621600).

1740166149564 is an abundant number, since it is smaller than the sum of its proper divisors (2825487093636).

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

1740166149564 is a wasteful number, since it uses less digits than its factorization.

1740166149564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277100 (or 277092 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1740166149564 in words is "one trillion, seven hundred forty billion, one hundred sixty-six million, one hundred forty-nine thousand, five hundred sixty-four".