3670664648256 has 224 divisors, whose sum is σ = 11573352316800. Its totient is φ = 1137285826560.

The previous prime is 3670664648227. The next prime is 3670664648281. The reversal of 3670664648256 is 6528464660763.

3670664648256 is a `hidden beast` number, since 3 + 6 + 7 + 0 + 66 + 46 + 482 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3670664648193 and 3670664648202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685366 + ... + 2794826.

Almost surely, 2^{3670664648256} is an apocalyptic number.

3670664648256 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 3670664648256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786676158400).

3670664648256 is an abundant number, since it is smaller than the sum of its proper divisors (7902687668544).

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

3670664648256 is a wasteful number, since it uses less digits than its factorization.

3670664648256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109554 (or 2109538 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 3670664648256 in words is "three trillion, six hundred seventy billion, six hundred sixty-four million, six hundred forty-eight thousand, two hundred fifty-six".