4613089320 has 400 divisors, whose sum is σ = 18118716660. Its totient is φ = 1052642304.

The previous prime is 4613089307. The next prime is 4613089333. The reversal of 4613089320 is 239803164.

4613089320 is a `hidden beast` number, since 4 + 613 + 0 + 8 + 9 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4613089307) and next prime (4613089333).

It can be written as a sum of positive squares in 2 ways, for example, as 4612311396 + 777924 = 67914^2 + 882^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 7778944 + ... + 7779536.

Almost surely, 2^4613089320 is an apocalyptic number.

4613089320 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 4613089320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9059358330).

4613089320 is an abundant number, since it is smaller than the sum of its proper divisors (13505627340).

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

4613089320 is an equidigital number, since it uses as much as digits as its factorization.

4613089320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4613089320 is about 67919.7270312536. The cubic root of 4613089320 is about 1664.6794610611.

The spelling of 4613089320 in words is "four billion, six hundred thirteen million, eighty-nine thousand, three hundred twenty".