5335682466240 has 2520 divisors, whose sum is σ = 24137812369440. Its totient is φ = 1094506463232.

The previous prime is 5335682466239. The next prime is 5335682466263. The reversal of 5335682466240 is 426642865335.

It is a happy number.

5335682466240 is a `hidden beast` number, since 5 + 3 + 3 + 5 + 6 + 8 + 2 + 4 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 359 ways as a sum of consecutive naturals, for example, 100673254054 + ... + 100673254106.

It is an arithmetic number, because the mean of its divisors is an integer number (9578496972).

Almost surely, 2^{5335682466240} 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 5335682466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068906184720).

5335682466240 is an abundant number, since it is smaller than the sum of its proper divisors (18802129903200).

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

5335682466240 is a wasteful number, since it uses less digits than its factorization.

5335682466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 5335682466240 in words is "five trillion, three hundred thirty-five billion, six hundred eighty-two million, four hundred sixty-six thousand, two hundred forty".