4536418683520 has 256 divisors, whose sum is σ = 11545543526400. Its totient is φ = 1699560935424.

The previous prime is 4536418683439. The next prime is 4536418683527. The reversal of 4536418683520 is 253868146354.

It is not an unprimeable number, because it can be changed into a prime (4536418683527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 855441189 + ... + 855446491.

It is an arithmetic number, because the mean of its divisors is an integer number (45099779400).

Almost surely, 2^{4536418683520} is an apocalyptic number.

4536418683520 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 4536418683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772771763200).

4536418683520 is an abundant number, since it is smaller than the sum of its proper divisors (7009124842880).

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

4536418683520 is a wasteful number, since it uses less digits than its factorization.

4536418683520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6127 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 55.

The spelling of 4536418683520 in words is "four trillion, five hundred thirty-six billion, four hundred eighteen million, six hundred eighty-three thousand, five hundred twenty".