3366166256640 has 1056 divisors, whose sum is σ = 13400760502080. Its totient is φ = 800432455680.

The previous prime is 3366166256573. The next prime is 3366166256647. The reversal of 3366166256640 is 466526616633.

It is a happy number.

3366166256640 is a `hidden beast` number, since 3 + 3 + 6 + 6 + 1 + 6 + 625 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×3366166256640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366166256647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 886531222 + ... + 886535018.

Almost surely, 2^{3366166256640} is an apocalyptic number.

3366166256640 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 3366166256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6700380251040).

3366166256640 is an abundant number, since it is smaller than the sum of its proper divisors (10034594245440).

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

3366166256640 is a wasteful number, since it uses less digits than its factorization.

3366166256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 3366166256640 in words is "three trillion, three hundred sixty-six billion, one hundred sixty-six million, two hundred fifty-six thousand, six hundred forty".