1729978688480 has 576 divisors, whose sum is σ = 5134511773440. Its totient is φ = 547517988864.

The previous prime is 1729978688429. The next prime is 1729978688549. The reversal of 1729978688480 is 848868799271.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 968090147 + ... + 968091933.

It is an arithmetic number, because the mean of its divisors is an integer number (8914082940).

Almost surely, 2^{1729978688480} is an apocalyptic number.

1729978688480 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 1729978688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567255886720).

1729978688480 is an abundant number, since it is smaller than the sum of its proper divisors (3404533084960).

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

1729978688480 is a wasteful number, since it uses less digits than its factorization.

1729978688480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 77.

The spelling of 1729978688480 in words is "one trillion, seven hundred twenty-nine billion, nine hundred seventy-eight million, six hundred eighty-eight thousand, four hundred eighty".