5674122446400 has 420 divisors, whose sum is σ = 21365365536900. Its totient is φ = 1476193075200.

The previous prime is 5674122446389. The next prime is 5674122446407. The reversal of 5674122446400 is 46442214765.

It is a happy number.

5674122446400 is a `hidden beast` number, since 5 + 67 + 4 + 122 + 4 + 464 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1593593165376 + 4080529281024 = 1262376^2 + 2020032^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5674122446407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4779676 + ... + 5847524.

It is an arithmetic number, because the mean of its divisors is an integer number (50869917945).

Almost surely, 2^{5674122446400} is an apocalyptic number.

5674122446400 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 5674122446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10682682768450).

5674122446400 is an abundant number, since it is smaller than the sum of its proper divisors (15691243090500).

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

5674122446400 is a wasteful number, since it uses less digits than its factorization.

5674122446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067924 (or 1067900 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 5674122446400 in words is "five trillion, six hundred seventy-four billion, one hundred twenty-two million, four hundred forty-six thousand, four hundred".