4659705895680 has 2160 divisors, whose sum is σ = 19574616267360. Its totient is φ = 1054569922560.

The previous prime is 4659705895667. The next prime is 4659705895687. The reversal of 4659705895680 is 865985079564.

4659705895680 is a `hidden beast` number, since 4 + 6 + 5 + 9 + 7 + 0 + 58 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4659705895599 and 4659705895608.

It is not an unprimeable number, because it can be changed into a prime (4659705895687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 26934716074 + ... + 26934716246.

It is an arithmetic number, because the mean of its divisors is an integer number (9062322346).

Almost surely, 2^{4659705895680} is an apocalyptic number.

4659705895680 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 4659705895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9787308133680).

4659705895680 is an abundant number, since it is smaller than the sum of its proper divisors (14914910371680).

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

4659705895680 is a wasteful number, since it uses less digits than its factorization.

4659705895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 4659705895680 in words is "four trillion, six hundred fifty-nine billion, seven hundred five million, eight hundred ninety-five thousand, six hundred eighty".