1678606575360 has 576 divisors, whose sum is σ = 6468598725120. Its totient is φ = 365475594240.

The previous prime is 1678606575311. The next prime is 1678606575379. The reversal of 1678606575360 is 635756068761.

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

It is a junction number, because it is equal to n+sod(n) for n = 1678606575294 and 1678606575303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20276131 + ... + 20358749.

It is an arithmetic number, because the mean of its divisors is an integer number (11230206120).

Almost surely, 2^{1678606575360} is an apocalyptic number.

1678606575360 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 1678606575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234299362560).

1678606575360 is an abundant number, since it is smaller than the sum of its proper divisors (4789992149760).

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

1678606575360 is a wasteful number, since it uses less digits than its factorization.

1678606575360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82704 (or 82690 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 60.

The spelling of 1678606575360 in words is "one trillion, six hundred seventy-eight billion, six hundred six million, five hundred seventy-five thousand, three hundred sixty".