6675657120 has 672 divisors, whose sum is σ = 26613728064. Its totient is φ = 1580705280.

The previous prime is 6675657007. The next prime is 6675657139. The reversal of 6675657120 is 217565766.

6675657120 is a `hidden beast` number, since 6 + 6 + 7 + 56 + 571 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 155247819 + ... + 155247861.

It is an arithmetic number, because the mean of its divisors is an integer number (39603762).

Almost surely, 2^6675657120 is an apocalyptic number.

6675657120 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 6675657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13306864032).

6675657120 is an abundant number, since it is smaller than the sum of its proper divisors (19938070944).

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

6675657120 is an equidigital number, since it uses as much as digits as its factorization.

6675657120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 6675657120 is about 81704.6946019627. The cubic root of 6675657120 is about 1882.9177117855.

The spelling of 6675657120 in words is "six billion, six hundred seventy-five million, six hundred fifty-seven thousand, one hundred twenty".