3066551951760 has 720 divisors, whose sum is σ = 11790407865600. Its totient is φ = 713073715200.

The previous prime is 3066551951699. The next prime is 3066551951761. The reversal of 3066551951760 is 671591556603.

3066551951760 is a `hidden beast` number, since 3 + 0 + 6 + 6 + 5 + 519 + 51 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 3066551951697 and 3066551951706.

It is not an unprimeable number, because it can be changed into a prime (3066551951761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 228857541 + ... + 228870939.

It is an arithmetic number, because the mean of its divisors is an integer number (16375566480).

Almost surely, 2^{3066551951760} is an apocalyptic number.

3066551951760 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 3066551951760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895203932800).

3066551951760 is an abundant number, since it is smaller than the sum of its proper divisors (8723855913840).

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

3066551951760 is a wasteful number, since it uses less digits than its factorization.

3066551951760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13548 (or 13528 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 3066551951760 in words is "three trillion, sixty-six billion, five hundred fifty-one million, nine hundred fifty-one thousand, seven hundred sixty".