4683640320 has 240 divisors, whose sum is σ = 16823766960. Its totient is φ = 1248804864.

The previous prime is 4683640271. The next prime is 4683640337. The reversal of 4683640320 is 230463864.

It is a happy number.

4683640320 is a `hidden beast` number, since 4 + 6 + 8 + 3 + 640 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a nialpdrome in base 12.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 618316 + ... + 625844.

It is an arithmetic number, because the mean of its divisors is an integer number (70099029).

Almost surely, 2^4683640320 is an apocalyptic number.

4683640320 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 4683640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8411883480).

4683640320 is an abundant number, since it is smaller than the sum of its proper divisors (12140126640).

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

4683640320 is an frugal number, since it uses more digits than its factorization.

4683640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7567 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4683640320 is about 68437.1267661055. The cubic root of 4683640320 is about 1673.1229073906.

The spelling of 4683640320 in words is "four billion, six hundred eighty-three million, six hundred forty thousand, three hundred twenty".