6284880645440 has 224 divisors, whose sum is σ = 15451092873216. Its totient is φ = 2433482588160.

The previous prime is 6284880645437. The next prime is 6284880645469. The reversal of 6284880645440 is 445460884826.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6284880645440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915759449 + ... + 915766311.

It is an arithmetic number, because the mean of its divisors is an integer number (68978093184).

Almost surely, 2^{6284880645440} 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 6284880645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7725546436608).

6284880645440 is an abundant number, since it is smaller than the sum of its proper divisors (9166212227776).

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

6284880645440 is a wasteful number, since it uses less digits than its factorization.

6284880645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7457 (or 7447 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 59.

The spelling of 6284880645440 in words is "six trillion, two hundred eighty-four billion, eight hundred eighty million, six hundred forty-five thousand, four hundred forty".