4965488640 has 576 divisors, whose sum is σ = 20237817600. Its totient is φ = 1102381056.

The previous prime is 4965488609. The next prime is 4965488641. The reversal of 4965488640 is 468845694.

4965488640 is a `hidden beast` number, since 4 + 96 + 548 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4965488641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27740071 + ... + 27740249.

It is an arithmetic number, because the mean of its divisors is an integer number (35135100).

Almost surely, 2^4965488640 is an apocalyptic number.

4965488640 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 4965488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10118908800).

4965488640 is an abundant number, since it is smaller than the sum of its proper divisors (15272328960).

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

4965488640 is a wasteful number, since it uses less digits than its factorization.

4965488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 4965488640 is about 70466.2233981643. The cubic root of 4965488640 is about 1706.0326203765.

The spelling of 4965488640 in words is "four billion, nine hundred sixty-five million, four hundred eighty-eight thousand, six hundred forty".