4516722000 has 600 divisors, whose sum is σ = 19011718440. Its totient is φ = 1030579200.

The previous prime is 4516721999. The next prime is 4516722011. The reversal of 4516722000 is 2276154.

4516722000 is a `hidden beast` number, since 451 + 6 + 7 + 2 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 673713936 + 3843008064 = 25956^2 + 61992^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 7937716 + ... + 7938284.

Almost surely, 2^4516722000 is an apocalyptic number.

4516722000 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 4516722000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9505859220).

4516722000 is an abundant number, since it is smaller than the sum of its proper divisors (14494996440).

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

4516722000 is a wasteful number, since it uses less digits than its factorization.

4516722000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 586 counting only the distinct ones).

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

The square root of 4516722000 is about 67206.5621795967. The cubic root of 4516722000 is about 1653.0060902078.

Adding to 4516722000 its reverse (2276154), we get a palindrome (4518998154).

The spelling of 4516722000 in words is "four billion, five hundred sixteen million, seven hundred twenty-two thousand".