3662709672640 has 224 divisors, whose sum is σ = 8967367180800. Its totient is φ = 1424431595520.

The previous prime is 3662709672623. The next prime is 3662709672647. The reversal of 3662709672640 is 462769072663.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3662709672647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1694913160 + ... + 1694915320.

It is an arithmetic number, because the mean of its divisors is an integer number (40032889200).

Almost surely, 2^{3662709672640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3662709672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483683590400).

3662709672640 is an abundant number, since it is smaller than the sum of its proper divisors (5304657508160).

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

3662709672640 is a wasteful number, since it uses less digits than its factorization.

3662709672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 58.

The spelling of 3662709672640 in words is "three trillion, six hundred sixty-two billion, seven hundred nine million, six hundred seventy-two thousand, six hundred forty".