4536758438784 has 1536 divisors, whose sum is σ = 16578216345600. Its totient is φ = 1170505728000.

The previous prime is 4536758438783. The next prime is 4536758438827. The reversal of 4536758438784 is 4878348576354.

4536758438784 is a `hidden beast` number, since 4 + 5 + 3 + 6 + 7 + 584 + 38 + 7 + 8 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4536758438783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35722507329 + ... + 35722507455.

It is an arithmetic number, because the mean of its divisors is an integer number (10793109600).

Almost surely, 2^{4536758438784} is an apocalyptic number.

4536758438784 is a gapful number since it is divisible by the number (44) 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 4536758438784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8289108172800).

4536758438784 is an abundant number, since it is smaller than the sum of its proper divisors (12041457906816).

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

4536758438784 is a wasteful number, since it uses less digits than its factorization.

4536758438784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 389 counting only the distinct ones).

The product of its digits is 2167603200, while the sum is 72.

The spelling of 4536758438784 in words is "four trillion, five hundred thirty-six billion, seven hundred fifty-eight million, four hundred thirty-eight thousand, seven hundred eighty-four".