6285759874240 has 336 divisors, whose sum is σ = 19306017576864. Its totient is φ = 1927076659200.

The previous prime is 6285759874223. The next prime is 6285759874241. The reversal of 6285759874240 is 424789575826.

It is not an unprimeable number, because it can be changed into a prime (6285759874241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10222564 + ... + 10819996.

Almost surely, 2^{6285759874240} 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 6285759874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9653008788432).

6285759874240 is an abundant number, since it is smaller than the sum of its proper divisors (13020257702624).

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

6285759874240 is a wasteful number, since it uses less digits than its factorization.

6285759874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597536 (or 597519 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 67.

The spelling of 6285759874240 in words is "six trillion, two hundred eighty-five billion, seven hundred fifty-nine million, eight hundred seventy-four thousand, two hundred forty".