4536084672 has 224 divisors, whose sum is σ = 15733207040. Its totient is φ = 1254113280.

The previous prime is 4536084667. The next prime is 4536084691. The reversal of 4536084672 is 2764806354.

4536084672 is a `hidden beast` number, since 4 + 536 + 0 + 8 + 46 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368928 + ... + 381024.

Almost surely, 2^4536084672 is an apocalyptic number.

4536084672 is a gapful number since it is divisible by the number (42) 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 4536084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7866603520).

4536084672 is an abundant number, since it is smaller than the sum of its proper divisors (11197122368).

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

4536084672 is a wasteful number, since it uses less digits than its factorization.

4536084672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12156 (or 12140 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4536084672 is about 67350.4615574385. The cubic root of 4536084672 is about 1655.3648057482.

The spelling of 4536084672 in words is "four billion, five hundred thirty-six million, eighty-four thousand, six hundred seventy-two".