6672645120 has 352 divisors, whose sum is σ = 22402368000. Its totient is φ = 1693384704.

The previous prime is 6672645103. The next prime is 6672645137. The reversal of 6672645120 is 215462766.

It is an interprime number because it is at equal distance from previous prime (6672645103) and next prime (6672645137).

It is a congruent number.

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, 33530781 + ... + 33530979.

Almost surely, 2^6672645120 is an apocalyptic number.

6672645120 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 6672645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11201184000).

6672645120 is an abundant number, since it is smaller than the sum of its proper divisors (15729722880).

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

6672645120 is a wasteful number, since it uses less digits than its factorization.

6672645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 6672645120 is about 81686.2602889862. The cubic root of 6672645120 is about 1882.6344836721.

The spelling of 6672645120 in words is "six billion, six hundred seventy-two million, six hundred forty-five thousand, one hundred twenty".