7436632968 has 36 divisors (see below), whose sum is σ = 20142862935. Its totient is φ = 2478633744.

The previous prime is 7436632967. The next prime is 7436632969. The reversal of 7436632968 is 8692366347.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (7436632967) and next prime (7436632969).

It can be written as a sum of positive squares in only one way, i.e., 3718316484 + 3718316484 = 60978^2 + 60978^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=60978.

It is not an unprimeable number, because it can be changed into a prime (7436632967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 726655 + ... + 736817.

Almost surely, 2^7436632968 is an apocalyptic number.

It is an amenable number.

7436632968 is an abundant number, since it is smaller than the sum of its proper divisors (12706229967).

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

7436632968 is an equidigital number, since it uses as much as digits as its factorization.

7436632968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20338 (or 10168 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 7436632968 is about 86235.9146063866. The cubic root of 7436632968 is about 1951.9054762804.

The spelling of 7436632968 in words is "seven billion, four hundred thirty-six million, six hundred thirty-two thousand, nine hundred sixty-eight".