6685485600 has 288 divisors, whose sum is σ = 22656049920. Its totient is φ = 1710858240.

The previous prime is 6685485533. The next prime is 6685485629. The reversal of 6685485600 is 65845866.

It is a happy number.

It is a super-3 number, since 3×6685485600³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6685485600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7014724 + ... + 7015676.

It is an arithmetic number, because the mean of its divisors is an integer number (78666840).

Almost surely, 2^6685485600 is an apocalyptic number.

6685485600 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 6685485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11328024960).

6685485600 is an abundant number, since it is smaller than the sum of its proper divisors (15970564320).

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

6685485600 is a wasteful number, since it uses less digits than its factorization.

6685485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 6685485600 is about 81764.8188403790. The cubic root of 6685485600 is about 1883.8413234494.

The spelling of 6685485600 in words is "six billion, six hundred eighty-five million, four hundred eighty-five thousand, six hundred".