6675271680 has 832 divisors, whose sum is σ = 28534560768. Its totient is φ = 1289748480.

The previous prime is 6675271667. The next prime is 6675271693. The reversal of 6675271680 is 861725766.

It is an interprime number because it is at equal distance from previous prime (6675271667) and next prime (6675271693).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80424919 + ... + 80425001.

Almost surely, 2^6675271680 is an apocalyptic number.

6675271680 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 6675271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14267280384).

6675271680 is an abundant number, since it is smaller than the sum of its proper divisors (21859289088).

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

6675271680 is a wasteful number, since it uses less digits than its factorization.

6675271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 6675271680 is about 81702.3358295220. The cubic root of 6675271680 is about 1882.8814723683.

The spelling of 6675271680 in words is "six billion, six hundred seventy-five million, two hundred seventy-one thousand, six hundred eighty".