6825702624 has 192 divisors, whose sum is σ = 20149819200. Its totient is φ = 2008645632.

The previous prime is 6825702601. The next prime is 6825702629. The reversal of 6825702624 is 4262075286.

It is a super-2 number, since 2×6825702624² = 93180432622560970752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6825702629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4088862 + ... + 4090530.

It is an arithmetic number, because the mean of its divisors is an integer number (104946975).

Almost surely, 2^6825702624 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 6825702624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10074909600).

6825702624 is an abundant number, since it is smaller than the sum of its proper divisors (13324116576).

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

6825702624 is a wasteful number, since it uses less digits than its factorization.

6825702624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1829 counting only the distinct ones).

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

The square root of 6825702624 is about 82617.8105737498. The cubic root of 6825702624 is about 1896.9204613965.

The spelling of 6825702624 in words is "six billion, eight hundred twenty-five million, seven hundred two thousand, six hundred twenty-four".