6266535690240 has 360 divisors, whose sum is σ = 24826680365760. Its totient is φ = 1432349835264.

The previous prime is 6266535690199. The next prime is 6266535690251. The reversal of 6266535690240 is 420965356626.

6266535690240 is a `hidden beast` number, since 6 + 2 + 6 + 6 + 53 + 569 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4553851 + ... + 5768069.

It is an arithmetic number, because the mean of its divisors is an integer number (68963001016).

Almost surely, 2^{6266535690240} is an apocalyptic number.

6266535690240 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 6266535690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12413340182880).

6266535690240 is an abundant number, since it is smaller than the sum of its proper divisors (18560144675520).

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

6266535690240 is a wasteful number, since it uses less digits than its factorization.

6266535690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214265 (or 1214236 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 6266535690240 in words is "six trillion, two hundred sixty-six billion, five hundred thirty-five million, six hundred ninety thousand, two hundred forty".