6825537720 has 192 divisors, whose sum is σ = 22680777600. Its totient is φ = 1779644160.

The previous prime is 6825537703. The next prime is 6825537737. The reversal of 6825537720 is 277355286.

6825537720 is a `hidden beast` number, since 6 + 8 + 2 + 553 + 77 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (6825537703) and next prime (6825537737).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4480879 + ... + 4482401.

It is an arithmetic number, because the mean of its divisors is an integer number (118129050).

Almost surely, 2^6825537720 is an apocalyptic number.

6825537720 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 6825537720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340388800).

6825537720 is an abundant number, since it is smaller than the sum of its proper divisors (15855239880).

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

6825537720 is a wasteful number, since it uses less digits than its factorization.

6825537720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 6825537720 is about 82616.8125746812. The cubic root of 6825537720 is about 1896.9051852016.

The spelling of 6825537720 in words is "six billion, eight hundred twenty-five million, five hundred thirty-seven thousand, seven hundred twenty".