4636105766460 has 240 divisors, whose sum is σ = 16708328017920. Its totient is φ = 1054132755840.

The previous prime is 4636105766333. The next prime is 4636105766527. The reversal of 4636105766460 is 646675016364.

4636105766460 is a `hidden beast` number, since 4 + 6 + 3 + 6 + 1 + 0 + 576 + 6 + 4 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4636105766397 and 4636105766406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1095711 + ... + 3236169.

It is an arithmetic number, because the mean of its divisors is an integer number (69618033408).

Almost surely, 2^{4636105766460} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4636105766460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8354164008960).

4636105766460 is an abundant number, since it is smaller than the sum of its proper divisors (12072222251460).

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

4636105766460 is a wasteful number, since it uses less digits than its factorization.

4636105766460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140678 (or 2140667 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 4636105766460 in words is "four trillion, six hundred thirty-six billion, one hundred five million, seven hundred sixty-six thousand, four hundred sixty".