4654080000 has 420 divisors, whose sum is σ = 16966333098. Its totient is φ = 1228800000.

The previous prime is 4654079977. The next prime is 4654080007. The reversal of 4654080000 is 804564.

4654080000 is a `hidden beast` number, since 4 + 654 + 0 + 8 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 712249344 + 3941830656 = 26688^2 + 62784^2 .

It is not an unprimeable number, because it can be changed into a prime (4654080007) 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 29 ways as a sum of consecutive naturals, for example, 46079950 + ... + 46080050.

Almost surely, 2^4654080000 is an apocalyptic number.

4654080000 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 4654080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8483166549).

4654080000 is an abundant number, since it is smaller than the sum of its proper divisors (12312253098).

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

4654080000 is an equidigital number, since it uses as much as digits as its factorization.

4654080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4654080000 is about 68220.8179370491. The cubic root of 4654080000 is about 1669.5955610427.

Adding to 4654080000 its reverse (804564), we get a palindrome (4654884564).

The spelling of 4654080000 in words is "four billion, six hundred fifty-four million, eighty thousand".