561626366400 has 504 divisors, whose sum is σ = 2183197208400. Its totient is φ = 135803289600.

The previous prime is 561626366317. The next prime is 561626366443. The reversal of 561626366400 is 4663626165.

561626366400 is a `hidden beast` number, since 5 + 6 + 1 + 6 + 2 + 636 + 6 + 4 + 0 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64781266 + ... + 64789934.

Almost surely, 2^561626366400 is an apocalyptic number.

561626366400 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 561626366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091598604200).

561626366400 is an abundant number, since it is smaller than the sum of its proper divisors (1621570842000).

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

561626366400 is a wasteful number, since it uses less digits than its factorization.

561626366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9117 (or 9099 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 561626366400 in words is "five hundred sixty-one billion, six hundred twenty-six million, three hundred sixty-six thousand, four hundred".