3551553008640 has 3168 divisors, whose sum is σ = 16755273400320. Its totient is φ = 704310018048.

The previous prime is 3551553008581. The next prime is 3551553008677. The reversal of 3551553008640 is 468003551553.

3551553008640 is a `hidden beast` number, since 3 + 5 + 51 + 5 + 530 + 0 + 8 + 64 + 0 = 666.

It is a super-2 number, since 2×3551553008640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 27964984257 + ... + 27964984383.

Almost surely, 2^{3551553008640} is an apocalyptic number.

3551553008640 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 3551553008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8377636700160).

3551553008640 is an abundant number, since it is smaller than the sum of its proper divisors (13203720391680).

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

3551553008640 is a wasteful number, since it uses less digits than its factorization.

3551553008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 3551553008640 in words is "three trillion, five hundred fifty-one billion, five hundred fifty-three million, eight thousand, six hundred forty".