4760320320 has 448 divisors, whose sum is σ = 19819315200. Its totient is φ = 1052559360.

The previous prime is 4760320309. The next prime is 4760320321. The reversal of 4760320320 is 230230674.

4760320320 is a `hidden beast` number, since 4 + 7 + 603 + 20 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4760320321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1873611 + ... + 1876149.

Almost surely, 2^4760320320 is an apocalyptic number.

4760320320 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 4760320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9909657600).

4760320320 is an abundant number, since it is smaller than the sum of its proper divisors (15058994880).

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

4760320320 is a wasteful number, since it uses less digits than its factorization.

4760320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 4760320320 is about 68995.0746068152. The cubic root of 4760320320 is about 1682.2042494995.

Adding to 4760320320 its reverse (230230674), we get a palindrome (4990550994).

The spelling of 4760320320 in words is "four billion, seven hundred sixty million, three hundred twenty thousand, three hundred twenty".