4542295968 has 144 divisors (see below), whose sum is σ = 15309403200. Its totient is φ = 1297783296.

The previous prime is 4542295957. The next prime is 4542295969. The reversal of 4542295968 is 8695922454.

4542295968 is a `hidden beast` number, since 4 + 5 + 42 + 2 + 9 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (4542295969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12708 + ... + 96156.

It is an arithmetic number, because the mean of its divisors is an integer number (106315300).

Almost surely, 2^4542295968 is an apocalyptic number.

4542295968 is a gapful number since it is divisible by the number (48) 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 4542295968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7654701600).

4542295968 is an abundant number, since it is smaller than the sum of its proper divisors (10767107232).

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

4542295968 is an equidigital number, since it uses as much as digits as its factorization.

4542295968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83481 (or 83461 counting only the distinct ones).

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

The square root of 4542295968 is about 67396.5575382007. The cubic root of 4542295968 is about 1656.1200291071.

The spelling of 4542295968 in words is "four billion, five hundred forty-two million, two hundred ninety-five thousand, nine hundred sixty-eight".