173664365742 has 128 divisors (see below), whose sum is σ = 471812705280. Its totient is φ = 46218055680.

The previous prime is 173664365741. The next prime is 173664365761. The reversal of 173664365742 is 247563466371.

173664365742 is a `hidden beast` number, since 1 + 7 + 3 + 6 + 64 + 3 + 6 + 574 + 2 = 666.

It is a super-3 number, since 3×173664365742³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173664365741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 484017 + ... + 762627.

It is an arithmetic number, because the mean of its divisors is an integer number (3686036760).

Almost surely, 2^173664365742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 173664365742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235906352640).

173664365742 is an abundant number, since it is smaller than the sum of its proper divisors (298148339538).

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

173664365742 is a wasteful number, since it uses less digits than its factorization.

173664365742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278743 (or 278737 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 54.

The spelling of 173664365742 in words is "one hundred seventy-three billion, six hundred sixty-four million, three hundred sixty-five thousand, seven hundred forty-two".