3603632578560 has 896 divisors, whose sum is σ = 14920409640960. Its totient is φ = 808054161408.

The previous prime is 3603632578543. The next prime is 3603632578573. The reversal of 3603632578560 is 658752363063.

It is a happy number.

3603632578560 is a `hidden beast` number, since 3 + 6 + 0 + 3 + 6 + 3 + 2 + 5 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×3603632578560² (a number of 26 digits) contains 22 as substring.

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 = 3603632578497 and 3603632578506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410291929 + ... + 410300711.

Almost surely, 2^{3603632578560} is an apocalyptic number.

3603632578560 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 3603632578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7460204820480).

3603632578560 is an abundant number, since it is smaller than the sum of its proper divisors (11316777062400).

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

3603632578560 is an equidigital number, since it uses as much as digits as its factorization.

3603632578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8883 (or 8853 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 3603632578560 in words is "three trillion, six hundred three billion, six hundred thirty-two million, five hundred seventy-eight thousand, five hundred sixty".