164207746160640 has 1920 divisors, whose sum is σ = 767013131364480. Its totient is φ = 32607773392896.

The previous prime is 164207746160611. The next prime is 164207746160677. The reversal of 164207746160640 is 46061647702461.

164207746160640 is a `hidden beast` number, since 1 + 6 + 4 + 20 + 7 + 7 + 4 + 6 + 1 + 606 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1283079694 + ... + 1283207666.

It is an arithmetic number, because the mean of its divisors is an integer number (399486005919).

Almost surely, 2^{164207746160640} is an apocalyptic number.

164207746160640 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 164207746160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383506565682240).

164207746160640 is an abundant number, since it is smaller than the sum of its proper divisors (602805385203840).

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

164207746160640 is a wasteful number, since it uses less digits than its factorization.

164207746160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128049 (or 128020 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 164207746160640 in words is "one hundred sixty-four trillion, two hundred seven billion, seven hundred forty-six million, one hundred sixty thousand, six hundred forty".