5436535968 has 288 divisors, whose sum is σ = 17435658240. Its totient is φ = 1660020480.

The previous prime is 5436535957. The next prime is 5436535981. The reversal of 5436535968 is 8695356345.

It is a happy number.

5436535968 is a `hidden beast` number, since 5 + 43 + 6 + 5 + 3 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 4579471 + ... + 4580657.

It is an arithmetic number, because the mean of its divisors is an integer number (60540480).

Almost surely, 2^5436535968 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 5436535968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8717829120).

5436535968 is an abundant number, since it is smaller than the sum of its proper divisors (11999122272).

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

5436535968 is a wasteful number, since it uses less digits than its factorization.

5436535968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1242 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 54.

The square root of 5436535968 is about 73732.8689798519. The cubic root of 5436535968 is about 1758.3584866902.

The spelling of 5436535968 in words is "five billion, four hundred thirty-six million, five hundred thirty-five thousand, nine hundred sixty-eight".