6672728160 has 240 divisors, whose sum is σ = 26913702816. Its totient is φ = 1525174272.

The previous prime is 6672728149. The next prime is 6672728219. The reversal of 6672728160 is 618272766.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53944 + ... + 127496.

Almost surely, 2^6672728160 is an apocalyptic number.

6672728160 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 6672728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13456851408).

6672728160 is an abundant number, since it is smaller than the sum of its proper divisors (20240974656).

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

6672728160 is a wasteful number, since it uses less digits than its factorization.

6672728160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73587 (or 73570 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6672728160 is about 81686.7685736191. The cubic root of 6672728160 is about 1882.6422933346.

The spelling of 6672728160 in words is "six billion, six hundred seventy-two million, seven hundred twenty-eight thousand, one hundred sixty".