3662005851504 has 1440 divisors, whose sum is σ = 15381064048896. Its totient is φ = 826251632640.

The previous prime is 3662005851479. The next prime is 3662005851509. The reversal of 3662005851504 is 4051585002663.

3662005851504 is a `hidden beast` number, since 3 + 6 + 62 + 0 + 0 + 5 + 85 + 1 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3662005851504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3662005851509) 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 287 ways as a sum of consecutive naturals, for example, 463130719 + ... + 463138625.

Almost surely, 2^{3662005851504} is an apocalyptic number.

3662005851504 is a gapful number since it is divisible by the number (34) 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 3662005851504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7690532024448).

3662005851504 is an abundant number, since it is smaller than the sum of its proper divisors (11719058197392).

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

3662005851504 is a wasteful number, since it uses less digits than its factorization.

3662005851504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7985 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 3662005851504 in words is "three trillion, six hundred sixty-two billion, five million, eight hundred fifty-one thousand, five hundred four".