4614072320 has 384 divisors, whose sum is σ = 13671141120. Its totient is φ = 1470627840.

The previous prime is 4614072299. The next prime is 4614072329. The reversal of 4614072320 is 232704164.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4614072329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33679292 + ... + 33679428.

It is an arithmetic number, because the mean of its divisors is an integer number (35601930).

Almost surely, 2^4614072320 is an apocalyptic number.

4614072320 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 4614072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6835570560).

4614072320 is an abundant number, since it is smaller than the sum of its proper divisors (9057068800).

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

4614072320 is a wasteful number, since it uses less digits than its factorization.

4614072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 4614072320 is about 67926.9631295261. The cubic root of 4614072320 is about 1664.7976944603.

Adding to 4614072320 its reverse (232704164), we get a palindrome (4846776484).

The spelling of 4614072320 in words is "four billion, six hundred fourteen million, seventy-two thousand, three hundred twenty".