4632754960 has 40 divisors (see below), whose sum is σ = 10794605976. Its totient is φ = 1849067520.

The previous prime is 4632754957. The next prime is 4632754991. The reversal of 4632754960 is 694572364.

It can be written as a sum of positive squares in 4 ways, for example, as 4946176 + 4627808784 = 2224^2 + 68028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×4632754960⁴ (a number of 40 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4632754960.

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 7 ways as a sum of consecutive naturals, for example, 25929 + ... + 99688.

Almost surely, 2^4632754960 is an apocalyptic number.

4632754960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4632754960 is an abundant number, since it is smaller than the sum of its proper divisors (6161851016).

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

4632754960 is a wasteful number, since it uses less digits than its factorization.

4632754960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126091 (or 126085 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The square root of 4632754960 is about 68064.3442633513. The cubic root of 4632754960 is about 1667.0416219499.

The spelling of 4632754960 in words is "four billion, six hundred thirty-two million, seven hundred fifty-four thousand, nine hundred sixty".