4714560000 has 300 divisors, whose sum is σ = 17013118122. Its totient is φ = 1256448000.

The previous prime is 4714559959. The next prime is 4714560007. The reversal of 4714560000 is 654174.

4714560000 is a `hidden beast` number, since 47 + 14 + 5 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 179345664 + 4535214336 = 13392^2 + 67344^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4714560007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2879182 + ... + 2880818.

Almost surely, 2^4714560000 is an apocalyptic number.

4714560000 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 4714560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8506559061).

4714560000 is an abundant number, since it is smaller than the sum of its proper divisors (12298558122).

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

4714560000 is an equidigital number, since it uses as much as digits as its factorization.

4714560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4714560000 is about 68662.6536044158. The cubic root of 4714560000 is about 1676.7966168376.

The spelling of 4714560000 in words is "four billion, seven hundred fourteen million, five hundred sixty thousand".