1674407116800 has 2040 divisors, whose sum is σ = 7174117708032. Its totient is φ = 382205952000.

The previous prime is 1674407116751. The next prime is 1674407116829. The reversal of 1674407116800 is 86117044761.

1674407116800 is a `hidden beast` number, since 1 + 67 + 440 + 71 + 1 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 45254246382 + ... + 45254246418.

Almost surely, 2^{1674407116800} is an apocalyptic number.

1674407116800 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 1674407116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587058854016).

1674407116800 is an abundant number, since it is smaller than the sum of its proper divisors (5499710591232).

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

1674407116800 is an equidigital number, since it uses as much as digits as its factorization.

1674407116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1674407116800 in words is "one trillion, six hundred seventy-four billion, four hundred seven million, one hundred sixteen thousand, eight hundred".