4509812736 has 576 divisors, whose sum is σ = 16098264000. Its totient is φ = 1197342720.

The previous prime is 4509812701. The next prime is 4509812759. The reversal of 4509812736 is 6372189054.

4509812736 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

4509812736 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4509812691 and 4509812700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76437475 + ... + 76437533.

It is an arithmetic number, because the mean of its divisors is an integer number (27948375).

It is a 1-persistent number, because it is pandigital, but 2⋅4509812736 = 9019625472 is not.

Almost surely, 2^4509812736 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 4509812736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8049132000).

4509812736 is an abundant number, since it is smaller than the sum of its proper divisors (11588451264).

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

4509812736 is a wasteful number, since it uses less digits than its factorization.

4509812736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4509812736 is about 67155.1393118948. The cubic root of 4509812736 is about 1652.1627880630.

The spelling of 4509812736 in words is "four billion, five hundred nine million, eight hundred twelve thousand, seven hundred thirty-six".