1678459960320 has 1056 divisors, whose sum is σ = 6416516112384. Its totient is φ = 371960709120.

The previous prime is 1678459960291. The next prime is 1678459960327. The reversal of 1678459960320 is 230699548761.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678459960327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3068482287 + ... + 3068482833.

It is a 1-persistent number, because it is pandigital, but 2⋅1678459960320 = 3356919920640 is not.

Almost surely, 2^{1678459960320} is an apocalyptic number.

1678459960320 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 1678459960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208258056192).

1678459960320 is an abundant number, since it is smaller than the sum of its proper divisors (4738056152064).

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

1678459960320 is a wasteful number, since it uses less digits than its factorization.

1678459960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 1678459960320 in words is "one trillion, six hundred seventy-eight billion, four hundred fifty-nine million, nine hundred sixty thousand, three hundred twenty".