1674545218560 has 880 divisors, whose sum is σ = 6267333143280. Its totient is φ = 427115151360.

The previous prime is 1674545218547. The next prime is 1674545218571. The reversal of 1674545218560 is 658125454761.

1674545218560 is a `hidden beast` number, since 1 + 6 + 7 + 4 + 5 + 452 + 185 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 27614462976 + 1646930755584 = 166176^2 + 1283328^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1674545218497 and 1674545218506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 936022146 + ... + 936023934.

It is an arithmetic number, because the mean of its divisors is an integer number (7121969481).

Almost surely, 2^{1674545218560} is an apocalyptic number.

1674545218560 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 1674545218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133666571640).

1674545218560 is an abundant number, since it is smaller than the sum of its proper divisors (4592787924720).

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

1674545218560 is a wasteful number, since it uses less digits than its factorization.

1674545218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 1674545218560 in words is "one trillion, six hundred seventy-four billion, five hundred forty-five million, two hundred eighteen thousand, five hundred sixty".