3605644536480 has 2304 divisors, whose sum is σ = 16646932463616. Its totient is φ = 717352796160.

The previous prime is 3605644536433. The next prime is 3605644536581. The reversal of 3605644536480 is 846354465063.

3605644536480 is a `hidden beast` number, since 3 + 6 + 0 + 5 + 64 + 4 + 536 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3298850814 + ... + 3298851906.

It is an arithmetic number, because the mean of its divisors is an integer number (7225231104).

Almost surely, 2^{3605644536480} is an apocalyptic number.

3605644536480 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 3605644536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323466231808).

3605644536480 is an abundant number, since it is smaller than the sum of its proper divisors (13041287927136).

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

3605644536480 is a wasteful number, since it uses less digits than its factorization.

3605644536480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 3605644536480 in words is "three trillion, six hundred five billion, six hundred forty-four million, five hundred thirty-six thousand, four hundred eighty".