3669562128960 has 2016 divisors, whose sum is σ = 17115753537792. Its totient is φ = 740344872960.

The previous prime is 3669562128959. The next prime is 3669562128971. The reversal of 3669562128960 is 698212659663.

3669562128960 is a `hidden beast` number, since 3 + 6 + 6 + 9 + 562 + 1 + 2 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1139260150 + ... + 1139263370.

It is an arithmetic number, because the mean of its divisors is an integer number (8489957112).

Almost surely, 2^{3669562128960} is an apocalyptic number.

3669562128960 is a gapful number since it is divisible by the number (30) 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 3669562128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8557876768896).

3669562128960 is an abundant number, since it is smaller than the sum of its proper divisors (13446191408832).

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

3669562128960 is a wasteful number, since it uses less digits than its factorization.

3669562128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 3669562128960 in words is "three trillion, six hundred sixty-nine billion, five hundred sixty-two million, one hundred twenty-eight thousand, nine hundred sixty".