3066998837760 has 1920 divisors, whose sum is σ = 12979636750080. Its totient is φ = 659305267200.

The previous prime is 3066998837737. The next prime is 3066998837767. The reversal of 3066998837760 is 677388996603.

3066998837760 is a `hidden beast` number, since 30 + 6 + 6 + 99 + 88 + 377 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3066998837767) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16944744870 + ... + 16944745050.

It is an arithmetic number, because the mean of its divisors is an integer number (6760227474).

Almost surely, 2^{3066998837760} is an apocalyptic number.

3066998837760 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 3066998837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6489818375040).

3066998837760 is an abundant number, since it is smaller than the sum of its proper divisors (9912637912320).

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

3066998837760 is a wasteful number, since it uses less digits than its factorization.

3066998837760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 3066998837760 in words is "three trillion, sixty-six billion, nine hundred ninety-eight million, eight hundred thirty-seven thousand, seven hundred sixty".