5674646362400 has 144 divisors (see below), whose sum is σ = 14671343177064. Its totient is φ = 2135868948480.

The previous prime is 5674646362393. The next prime is 5674646362403. The reversal of 5674646362400 is 42636464765.

It can be written as a sum of positive squares in 12 ways, for example, as 1734246680464 + 3940399681936 = 1316908^2 + 1985044^2 .

It is a super-2 number, since 2×5674646362400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5674646362403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65413454 + ... + 65500146.

Almost surely, 2^{5674646362400} is an apocalyptic number.

5674646362400 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 5674646362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335671588532).

5674646362400 is an abundant number, since it is smaller than the sum of its proper divisors (8996696814664).

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

5674646362400 is a wasteful number, since it uses less digits than its factorization.

5674646362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91543 (or 91530 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 53.

The spelling of 5674646362400 in words is "five trillion, six hundred seventy-four billion, six hundred forty-six million, three hundred sixty-two thousand, four hundred".