4636646767872 has 216 divisors, whose sum is σ = 15528863866880. Its totient is φ = 1303038627840.

The previous prime is 4636646767849. The next prime is 4636646767873. The reversal of 4636646767872 is 2787676466364.

4636646767872 is a `hidden beast` number, since 4 + 6 + 36 + 6 + 467 + 67 + 8 + 72 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4636646767872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4636646767873) 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, 1372672 + ... + 3340287.

Almost surely, 2^{4636646767872} is an apocalyptic number.

4636646767872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4636646767872 is an abundant number, since it is smaller than the sum of its proper divisors (10892217099008).

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

4636646767872 is a wasteful number, since it uses less digits than its factorization.

4636646767872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4713049 (or 4713032 counting only the distinct ones).

The product of its digits is 2048385024, while the sum is 72.

The spelling of 4636646767872 in words is "four trillion, six hundred thirty-six billion, six hundred forty-six million, seven hundred sixty-seven thousand, eight hundred seventy-two".