3662368560162 has 128 divisors (see below), whose sum is σ = 8842543288320. Its totient is φ = 1116904749120.

The previous prime is 3662368560161. The next prime is 3662368560259. The reversal of 3662368560162 is 2610658632663.

3662368560162 is a `hidden beast` number, since 3 + 6 + 6 + 2 + 3 + 68 + 560 + 16 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3662368560099 and 3662368560108.

It is not an unprimeable number, because it can be changed into a prime (3662368560161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41950737 + ... + 42037947.

It is an arithmetic number, because the mean of its divisors is an integer number (69082369440).

Almost surely, 2^{3662368560162} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3662368560162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421271644160).

3662368560162 is an abundant number, since it is smaller than the sum of its proper divisors (5180174728158).

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

3662368560162 is a wasteful number, since it uses less digits than its factorization.

3662368560162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87765 (or 87759 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3662368560162 in words is "three trillion, six hundred sixty-two billion, three hundred sixty-eight million, five hundred sixty thousand, one hundred sixty-two".