4632579072 has 132 divisors (see below), whose sum is σ = 14592833736. Its totient is φ = 1403781120.

The previous prime is 4632579011. The next prime is 4632579079. The reversal of 4632579072 is 2709752364.

4632579072 is a `hidden beast` number, since 4 + 6 + 3 + 2 + 579 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is not an unprimeable number, because it can be changed into a prime (4632579079) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 78528 + ... + 124224.

Almost surely, 2^4632579072 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 4632579072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296416868).

4632579072 is an abundant number, since it is smaller than the sum of its proper divisors (9960254664).

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

4632579072 is a wasteful number, since it uses less digits than its factorization.

4632579072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45734 (or 45713 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 4632579072 is about 68063.0521795783. The cubic root of 4632579072 is about 1667.0205246165.

The spelling of 4632579072 in words is "four billion, six hundred thirty-two million, five hundred seventy-nine thousand, seventy-two".