3662769659472 has 300 divisors, whose sum is σ = 13317110962848. Its totient is φ = 951368457600.

The previous prime is 3662769659407. The next prime is 3662769659477. The reversal of 3662769659472 is 2749569672663.

3662769659472 is a `hidden beast` number, since 3 + 6 + 6 + 27 + 6 + 9 + 6 + 594 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3662769659472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3662769659477) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 570654 + ... + 2766077.

Almost surely, 2^{3662769659472} 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 3662769659472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658555481424).

3662769659472 is an abundant number, since it is smaller than the sum of its proper divisors (9654341303376).

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

3662769659472 is a wasteful number, since it uses less digits than its factorization.

3662769659472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336780 (or 3336754 counting only the distinct ones).

The product of its digits is 1234517760, while the sum is 72.

It can be divided in two parts, 3662769 and 659472, that added together give a square (4322241 = 2079²).

The spelling of 3662769659472 in words is "three trillion, six hundred sixty-two billion, seven hundred sixty-nine million, six hundred fifty-nine thousand, four hundred seventy-two".