4653895680 has 312 divisors, whose sum is σ = 18441151872. Its totient is φ = 1063452672.

The previous prime is 4653895627. The next prime is 4653895681. The reversal of 4653895680 is 865983564.

It is a happy number.

4653895680 is a `hidden beast` number, since 46 + 5 + 38 + 9 + 568 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4653895681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1288437 + ... + 1292043.

It is an arithmetic number, because the mean of its divisors is an integer number (59106256).

Almost surely, 2^4653895680 is an apocalyptic number.

4653895680 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 4653895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9220575936).

4653895680 is an abundant number, since it is smaller than the sum of its proper divisors (13787256192).

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

4653895680 is a wasteful number, since it uses less digits than its factorization.

4653895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 4653895680 is about 68219.4670163876. The cubic root of 4653895680 is about 1669.5735198862.

The spelling of 4653895680 in words is "four billion, six hundred fifty-three million, eight hundred ninety-five thousand, six hundred eighty".