5409968256 has 384 divisors, whose sum is σ = 19705420800. Its totient is φ = 1383782400.

The previous prime is 5409968251. The next prime is 5409968273. The reversal of 5409968256 is 6528699045.

It is a happy number.

5409968256 is a `hidden beast` number, since 540 + 9 + 96 + 8 + 2 + 5 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5409968251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6297555 + ... + 6298413.

It is an arithmetic number, because the mean of its divisors is an integer number (51316200).

Almost surely, 2^5409968256 is an apocalyptic number.

5409968256 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 5409968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9852710400).

5409968256 is an abundant number, since it is smaller than the sum of its proper divisors (14295452544).

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

5409968256 is a wasteful number, since it uses less digits than its factorization.

5409968256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 5409968256 is about 73552.4864025683. The cubic root of 5409968256 is about 1755.4895111000.

The spelling of 5409968256 in words is "five billion, four hundred nine million, nine hundred sixty-eight thousand, two hundred fifty-six".