4636845368064 has 1440 divisors, whose sum is σ = 18015159303680. Its totient is φ = 1151920963584.

The previous prime is 4636845368059. The next prime is 4636845368087. The reversal of 4636845368064 is 4608635486364.

4636845368064 is a `hidden beast` number, since 4 + 6 + 3 + 68 + 453 + 68 + 0 + 64 = 666.

It is a super-2 number, since 2×4636845368064² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4636845367992 and 4636845368010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10146269724 + ... + 10146270180.

Almost surely, 2^{4636845368064} 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 4636845368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9007579651840).

4636845368064 is an abundant number, since it is smaller than the sum of its proper divisors (13378313935616).

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

4636845368064 is a wasteful number, since it uses less digits than its factorization.

4636845368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 63.

The spelling of 4636845368064 in words is "four trillion, six hundred thirty-six billion, eight hundred forty-five million, three hundred sixty-eight thousand, sixty-four".