6645360234240 has 1152 divisors, whose sum is σ = 29068764641280. Its totient is φ = 1399924850688.

The previous prime is 6645360234221. The next prime is 6645360234313. The reversal of 6645360234240 is 424320635466.

6645360234240 is a `hidden beast` number, since 6 + 6 + 4 + 5 + 3 + 602 + 34 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2776998484 + ... + 2777000876.

It is an arithmetic number, because the mean of its divisors is an integer number (25233302640).

Almost surely, 2^{6645360234240} is an apocalyptic number.

6645360234240 is a gapful number since it is divisible by the number (60) 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 6645360234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14534382320640).

6645360234240 is an abundant number, since it is smaller than the sum of its proper divisors (22423404407040).

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

6645360234240 is a wasteful number, since it uses less digits than its factorization.

6645360234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 6645360234240 in words is "six trillion, six hundred forty-five billion, three hundred sixty million, two hundred thirty-four thousand, two hundred forty".