1728589040640 has 3960 divisors, whose sum is σ = 8562381070320. Its totient is φ = 331085905920.

The previous prime is 1728589040639. The next prime is 1728589040657. The reversal of 1728589040640 is 460409858271.

It is a happy number.

1728589040640 is a `hidden beast` number, since 1 + 72 + 85 + 8 + 90 + 406 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 46718622702 + ... + 46718622738.

It is an arithmetic number, because the mean of its divisors is an integer number (2162217442).

Almost surely, 2^{1728589040640} is an apocalyptic number.

1728589040640 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 1728589040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281190535160).

1728589040640 is an abundant number, since it is smaller than the sum of its proper divisors (6833792029680).

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

1728589040640 is a wasteful number, since it uses less digits than its factorization.

1728589040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1728589040640 in words is "one trillion, seven hundred twenty-eight billion, five hundred eighty-nine million, forty thousand, six hundred forty".