5674281984 has 440 divisors, whose sum is σ = 20092369440. Its totient is φ = 1560674304.

The previous prime is 5674281973. The next prime is 5674282039. The reversal of 5674281984 is 4891824765.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3870720) is a multiple of the sum of its prime divisors (378).

It is a self number, because there is not a number n which added to its sum of digits gives 5674281984.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16837464 + ... + 16837800.

It is an arithmetic number, because the mean of its divisors is an integer number (45664476).

Almost surely, 2^5674281984 is an apocalyptic number.

5674281984 is a gapful number since it is divisible by the number (54) 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 5674281984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10046184720).

5674281984 is an abundant number, since it is smaller than the sum of its proper divisors (14418087456).

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

5674281984 is a wasteful number, since it uses less digits than its factorization.

5674281984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 378 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 5674281984 is about 75327.8300762739. The cubic root of 5674281984 is about 1783.6253578629.

The spelling of 5674281984 in words is "five billion, six hundred seventy-four million, two hundred eighty-one thousand, nine hundred eighty-four".