3666847107456 has 768 divisors, whose sum is σ = 12443820480000. Its totient is φ = 1065494642688.

The previous prime is 3666847107431. The next prime is 3666847107491. The reversal of 3666847107456 is 6547017486663.

It is a junction number, because it is equal to n+sod(n) for n = 3666847107393 and 3666847107402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3449526381 + ... + 3449527443.

It is an arithmetic number, because the mean of its divisors is an integer number (16202891250).

Almost surely, 2^{3666847107456} is an apocalyptic number.

3666847107456 is a gapful number since it is divisible by the number (36) 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 3666847107456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6221910240000).

3666847107456 is an abundant number, since it is smaller than the sum of its proper divisors (8776973372544).

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

3666847107456 is a wasteful number, since it uses less digits than its factorization.

3666847107456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 3666847107456 in words is "three trillion, six hundred sixty-six billion, eight hundred forty-seven million, one hundred seven thousand, four hundred fifty-six".