5645336256 has 336 divisors, whose sum is σ = 19640275680. Its totient is φ = 1585059840.

The previous prime is 5645336231. The next prime is 5645336261. The reversal of 5645336256 is 6526335465.

5645336256 is a `hidden beast` number, since 5 + 6 + 4 + 533 + 62 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5164446 + ... + 5165538.

Almost surely, 2^5645336256 is an apocalyptic number.

5645336256 is a gapful number since it is divisible by the number (56) 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 5645336256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9820137840).

5645336256 is an abundant number, since it is smaller than the sum of its proper divisors (13994939424).

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

5645336256 is a wasteful number, since it uses less digits than its factorization.

5645336256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1166 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 45.

The square root of 5645336256 is about 75135.4527237309. The cubic root of 5645336256 is about 1780.5873010469.

The spelling of 5645336256 in words is "five billion, six hundred forty-five million, three hundred thirty-six thousand, two hundred fifty-six".