5240636646336 has 2016 divisors, whose sum is σ = 20560025041920. Its totient is φ = 1287687684096.

The previous prime is 5240636646293. The next prime is 5240636646347. The reversal of 5240636646336 is 6336466360425.

5240636646336 is a `hidden beast` number, since 5 + 240 + 6 + 3 + 6 + 64 + 6 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 58883557780 + ... + 58883557868.

It is an arithmetic number, because the mean of its divisors is an integer number (10198425120).

Almost surely, 2^{5240636646336} is an apocalyptic number.

5240636646336 is a gapful number since it is divisible by the number (56) 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 5240636646336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10280012520960).

5240636646336 is an abundant number, since it is smaller than the sum of its proper divisors (15319388395584).

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

5240636646336 is an equidigital number, since it uses as much as digits as its factorization.

5240636646336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 54.

The spelling of 5240636646336 in words is "five trillion, two hundred forty billion, six hundred thirty-six million, six hundred forty-six thousand, three hundred thirty-six".