3066672960 has 560 divisors, whose sum is σ = 12391948800. Its totient is φ = 713650176.

The previous prime is 3066672953. The next prime is 3066672977. The reversal of 3066672960 is 692766603.

3066672960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 6402001 + ... + 6402479.

It is an arithmetic number, because the mean of its divisors is an integer number (22128480).

Almost surely, 2^3066672960 is an apocalyptic number.

3066672960 is a gapful number since it is divisible by the number (30) 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 3066672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195974400).

3066672960 is an abundant number, since it is smaller than the sum of its proper divisors (9325275840).

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

3066672960 is a wasteful number, since it uses less digits than its factorization.

3066672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3066672960 is about 55377.5492415473. The cubic root of 3066672960 is about 1452.8557212581.

The spelling of 3066672960 in words is "three billion, sixty-six million, six hundred seventy-two thousand, nine hundred sixty".