6273266442240 has 1344 divisors, whose sum is σ = 24669633590784. Its totient is φ = 1354500145152.

The previous prime is 6273266442109. The next prime is 6273266442253. The reversal of 6273266442240 is 422446623726.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6273266442240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13433118487 + ... + 13433118953.

It is an arithmetic number, because the mean of its divisors is an integer number (18355382136).

Almost surely, 2^{6273266442240} is an apocalyptic number.

6273266442240 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 6273266442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12334816795392).

6273266442240 is an abundant number, since it is smaller than the sum of its proper divisors (18396367148544).

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

6273266442240 is a wasteful number, since it uses less digits than its factorization.

6273266442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 48.

The spelling of 6273266442240 in words is "six trillion, two hundred seventy-three billion, two hundred sixty-six million, four hundred forty-two thousand, two hundred forty".