4505760000 has 720 divisors, whose sum is σ = 19156368000. Its totient is φ = 1022976000.

The previous prime is 4505759987. The next prime is 4505760011. The reversal of 4505760000 is 675054.

4505760000 is a `hidden beast` number, since 4 + 5 + 0 + 57 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30239926 + ... + 30240074.

Almost surely, 2^4505760000 is an apocalyptic number.

4505760000 is a gapful number since it is divisible by the number (40) 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 4505760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9578184000).

4505760000 is an abundant number, since it is smaller than the sum of its proper divisors (14650608000).

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

4505760000 is an equidigital number, since it uses as much as digits as its factorization.

4505760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 4505760000 is about 67124.9581005456. The cubic root of 4505760000 is about 1651.6677352585.

The spelling of 4505760000 in words is "four billion, five hundred five million, seven hundred sixty thousand".