3553627663872 has 480 divisors, whose sum is σ = 12093138177120. Its totient is φ = 990382325760.

The previous prime is 3553627663853. The next prime is 3553627663897. The reversal of 3553627663872 is 2783667263553.

3553627663872 is a `hidden beast` number, since 3 + 5 + 536 + 2 + 7 + 66 + 38 + 7 + 2 = 666.

3553627663872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182517754 + ... + 182537222.

It is an arithmetic number, because the mean of its divisors is an integer number (25194037869).

Almost surely, 2^{3553627663872} is an apocalyptic number.

3553627663872 is a gapful number since it is divisible by the number (32) 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 3553627663872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046569088560).

3553627663872 is an abundant number, since it is smaller than the sum of its proper divisors (8539510513248).

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

3553627663872 is a wasteful number, since it uses less digits than its factorization.

3553627663872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19794 (or 19775 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 63.

The spelling of 3553627663872 in words is "three trillion, five hundred fifty-three billion, six hundred twenty-seven million, six hundred sixty-three thousand, eight hundred seventy-two".