674218362106800 has 1200 divisors, whose sum is σ = 2855243496720384. Its totient is φ = 149102000640000.

The previous prime is 674218362106781. The next prime is 674218362106811. The reversal of 674218362106800 is 8601263812476.

It is a happy number.

674218362106800 is a `hidden beast` number, since 6 + 7 + 4 + 2 + 1 + 8 + 3 + 621 + 0 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×674218362106800² (a number of 30 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 43105826980 + ... + 43105842620.

Almost surely, 2^{674218362106800} is an apocalyptic number.

674218362106800 is a gapful number since it is divisible by the number (60) 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 674218362106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427621748360192).

674218362106800 is an abundant number, since it is smaller than the sum of its proper divisors (2181025134613584).

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

674218362106800 is a wasteful number, since it uses less digits than its factorization.

674218362106800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21840 (or 21820 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 674218362106800 in words is "six hundred seventy-four trillion, two hundred eighteen billion, three hundred sixty-two million, one hundred six thousand, eight hundred".