6284874009960 has 1280 divisors, whose sum is σ = 26611173388800. Its totient is φ = 1295176531968.

The previous prime is 6284874009937. The next prime is 6284874009961. The reversal of 6284874009960 is 699004784826.

6284874009960 is a `hidden beast` number, since 6 + 2 + 8 + 4 + 87 + 400 + 99 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6284874009961) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2302993876 + ... + 2302996604.

It is an arithmetic number, because the mean of its divisors is an integer number (20789979210).

Almost surely, 2^{6284874009960} is an apocalyptic number.

6284874009960 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 6284874009960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305586694400).

6284874009960 is an abundant number, since it is smaller than the sum of its proper divisors (20326299378840).

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

6284874009960 is a wasteful number, since it uses less digits than its factorization.

6284874009960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 6284874009960 in words is "six trillion, two hundred eighty-four billion, eight hundred seventy-four million, nine thousand, nine hundred sixty".