6825561600 has 720 divisors, whose sum is σ = 26926620336. Its totient is φ = 1513881600.

The previous prime is 6825561553. The next prime is 6825561623. The reversal of 6825561600 is 61655286.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60403144 + ... + 60403256.

Almost surely, 2^6825561600 is an apocalyptic number.

6825561600 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 6825561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13463310168).

6825561600 is an abundant number, since it is smaller than the sum of its proper divisors (20101058736).

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

6825561600 is a wasteful number, since it uses less digits than its factorization.

6825561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 6825561600 is about 82616.9570971965. The cubic root of 6825561600 is about 1896.9073973860.

The spelling of 6825561600 in words is "six billion, eight hundred twenty-five million, five hundred sixty-one thousand, six hundred".