5605307646400 has 1344 divisors, whose sum is σ = 18741279052800. Its totient is φ = 1630037606400.

The previous prime is 5605307646391. The next prime is 5605307646457. The reversal of 5605307646400 is 46467035065.

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 191 ways as a sum of consecutive naturals, for example, 19806740659 + ... + 19806740941.

Almost surely, 2^{5605307646400} is an apocalyptic number.

5605307646400 is a gapful number since it is divisible by the number (50) 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 5605307646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9370639526400).

5605307646400 is an abundant number, since it is smaller than the sum of its proper divisors (13135971406400).

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

5605307646400 is a wasteful number, since it uses less digits than its factorization.

5605307646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 5605307646400 in words is "five trillion, six hundred five billion, three hundred seven million, six hundred forty-six thousand, four hundred".