6685835520 has 864 divisors, whose sum is σ = 28259788032. Its totient is φ = 1311178752.

The previous prime is 6685835489. The next prime is 6685835557. The reversal of 6685835520 is 255385866.

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 6685835520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126147814 + ... + 126147866.

It is an arithmetic number, because the mean of its divisors is an integer number (32708088).

Almost surely, 2^6685835520 is an apocalyptic number.

6685835520 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 6685835520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14129894016).

6685835520 is an abundant number, since it is smaller than the sum of its proper divisors (21573952512).

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

6685835520 is a wasteful number, since it uses less digits than its factorization.

6685835520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The square root of 6685835520 is about 81766.9586079854. The cubic root of 6685835520 is about 1883.8741897858.

It can be divided in two parts, 66858 and 35520, that added together give a triangular number (102378 = T₄₅₂).

The spelling of 6685835520 in words is "six billion, six hundred eighty-five million, eight hundred thirty-five thousand, five hundred twenty".