5436307968 has 640 divisors, whose sum is σ = 19798732800. Its totient is φ = 1284636672.

The previous prime is 5436307939. The next prime is 5436307973. The reversal of 5436307968 is 8697036345.

It is a self number, because there is not a number n which added to its sum of digits gives 5436307968.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 61082068 + ... + 61082156.

It is an arithmetic number, because the mean of its divisors is an integer number (30935520).

Almost surely, 2^5436307968 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 5436307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9899366400).

5436307968 is an abundant number, since it is smaller than the sum of its proper divisors (14362424832).

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

5436307968 is a wasteful number, since it uses less digits than its factorization.

5436307968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The square root of 5436307968 is about 73731.3228417882. The cubic root of 5436307968 is about 1758.3339053918. Note that the first 3 decimals are identical.

The spelling of 5436307968 in words is "five billion, four hundred thirty-six million, three hundred seven thousand, nine hundred sixty-eight".