1674680406000 has 640 divisors, whose sum is σ = 6633586851840. Its totient is φ = 354913920000.

The previous prime is 1674680405987. The next prime is 1674680406017. The reversal of 1674680406000 is 6040864761.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37483675 + ... + 37528325.

It is an arithmetic number, because the mean of its divisors is an integer number (10364979456).

Almost surely, 2^{1674680406000} is an apocalyptic number.

1674680406000 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 1674680406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316793425920).

1674680406000 is an abundant number, since it is smaller than the sum of its proper divisors (4958906445840).

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

1674680406000 is a wasteful number, since it uses less digits than its factorization.

1674680406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44750 (or 44734 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 1674680406000 in words is "one trillion, six hundred seventy-four billion, six hundred eighty million, four hundred six thousand".