6685117440 has 352 divisors, whose sum is σ = 22638182400. Its totient is φ = 1680408576.

The previous prime is 6685117433. The next prime is 6685117499. The reversal of 6685117440 is 447115866.

It is a junction number, because it is equal to n+sod(n) for n = 6685117392 and 6685117401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44866486 + ... + 44866634.

Almost surely, 2^6685117440 is an apocalyptic number.

6685117440 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 6685117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11319091200).

6685117440 is an abundant number, since it is smaller than the sum of its proper divisors (15953064960).

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

6685117440 is a wasteful number, since it uses less digits than its factorization.

6685117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 6685117440 is about 81762.5674743645. The cubic root of 6685117440 is about 1883.8067426778.

The spelling of 6685117440 in words is "six billion, six hundred eighty-five million, one hundred seventeen thousand, four hundred forty".