6985283441024 has 256 divisors, whose sum is σ = 17748185395200. Its totient is φ = 2670455070720.

The previous prime is 6985283441021. The next prime is 6985283441033. The reversal of 6985283441024 is 4201443825896.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6985283441021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19347662 + ... + 19705394.

It is an arithmetic number, because the mean of its divisors is an integer number (69328849200).

Almost surely, 2^{6985283441024} is an apocalyptic number.

6985283441024 is a gapful number since it is divisible by the number (64) 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 6985283441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8874092697600).

6985283441024 is an abundant number, since it is smaller than the sum of its proper divisors (10762901954176).

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

6985283441024 is a wasteful number, since it uses less digits than its factorization.

6985283441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357841 (or 357829 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 56.

The spelling of 6985283441024 in words is "six trillion, nine hundred eighty-five billion, two hundred eighty-three million, four hundred forty-one thousand, twenty-four".