5682706224000 has 1024 divisors, whose sum is σ = 21040134635520. Its totient is φ = 1347342336000.

The previous prime is 5682706223993. The next prime is 5682706224007. The reversal of 5682706224000 is 4226072865.

It is an interprime number because it is at equal distance from previous prime (5682706223993) and next prime (5682706224007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5682706224007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5087471442 + ... + 5087472558.

It is an arithmetic number, because the mean of its divisors is an integer number (20547006480).

Almost surely, 2^{5682706224000} is an apocalyptic number.

5682706224000 is a gapful number since it is divisible by the number (50) 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 5682706224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10520067317760).

5682706224000 is an abundant number, since it is smaller than the sum of its proper divisors (15357428411520).

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

5682706224000 is a wasteful number, since it uses less digits than its factorization.

5682706224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 5682706224000 in words is "five trillion, six hundred eighty-two billion, seven hundred six million, two hundred twenty-four thousand".