5645049984 has 384 divisors, whose sum is σ = 19476288000. Its totient is φ = 1535385600.

The previous prime is 5645049947. The next prime is 5645050001. The reversal of 5645049984 is 4899405465.

5645049984 is a `hidden beast` number, since 56 + 4 + 504 + 9 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5645049984.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23619337 + ... + 23619575.

It is an arithmetic number, because the mean of its divisors is an integer number (50719500).

Almost surely, 2^5645049984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5645049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9738144000).

5645049984 is an abundant number, since it is smaller than the sum of its proper divisors (13831238016).

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

5645049984 is a wasteful number, since it uses less digits than its factorization.

5645049984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 5645049984 is about 75133.5476601498. The cubic root of 5645049984 is about 1780.5572029931.

The spelling of 5645049984 in words is "five billion, six hundred forty-five million, forty-nine thousand, nine hundred eighty-four".