5674061400000 has 672 divisors, whose sum is σ = 21797773853184. Its totient is φ = 1275609600000.

The previous prime is 5674061399893. The next prime is 5674061400017. The reversal of 5674061400000 is 41604765.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256188927 + ... + 256211073.

It is an arithmetic number, because the mean of its divisors is an integer number (32437163472).

Almost surely, 2^{5674061400000} is an apocalyptic number.

5674061400000 is a gapful number since it is divisible by the number (50) 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 5674061400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10898886926592).

5674061400000 is an abundant number, since it is smaller than the sum of its proper divisors (16123712453184).

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

5674061400000 is an equidigital number, since it uses as much as digits as its factorization.

5674061400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22255 (or 22225 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 5674061400000 in words is "five trillion, six hundred seventy-four billion, sixty-one million, four hundred thousand".