4509412704 has 72 divisors (see below), whose sum is σ = 12871535040. Its totient is φ = 1497523968.

The previous prime is 4509412643. The next prime is 4509412723. The reversal of 4509412704 is 4072149054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48369 + ... + 106575.

It is an arithmetic number, because the mean of its divisors is an integer number (178771320).

Almost surely, 2^4509412704 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 4509412704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435767520).

4509412704 is an abundant number, since it is smaller than the sum of its proper divisors (8362122336).

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

4509412704 is a wasteful number, since it uses less digits than its factorization.

4509412704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58492 (or 58481 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4509412704 is about 67152.1608289711. The cubic root of 4509412704 is about 1652.1139362543.

The spelling of 4509412704 in words is "four billion, five hundred nine million, four hundred twelve thousand, seven hundred four".