6284496942000 has 800 divisors, whose sum is σ = 23360588469504. Its totient is φ = 1627741440000.

The previous prime is 6284496941963. The next prime is 6284496942001. The reversal of 6284496942000 is 2496944826.

6284496942000 is a `hidden beast` number, since 62 + 8 + 4 + 496 + 94 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6284496942001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 867182377 + ... + 867189623.

Almost surely, 2^{6284496942000} is an apocalyptic number.

6284496942000 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 6284496942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11680294234752).

6284496942000 is an abundant number, since it is smaller than the sum of its proper divisors (17076091527504).

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

6284496942000 is a wasteful number, since it uses less digits than its factorization.

6284496942000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7436 (or 7411 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 6284496942000 in words is "six trillion, two hundred eighty-four billion, four hundred ninety-six million, nine hundred forty-two thousand".