555646616400 has 240 divisors, whose sum is σ = 1846689090048. Its totient is φ = 142662912000.

The previous prime is 555646616341. The next prime is 555646616417. The reversal of 555646616400 is 4616646555.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 555646616400.

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 47 ways as a sum of consecutive naturals, for example, 7290490 + ... + 7366310.

Almost surely, 2^555646616400 is an apocalyptic number.

555646616400 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 555646616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923344545024).

555646616400 is an abundant number, since it is smaller than the sum of its proper divisors (1291042473648).

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

555646616400 is a wasteful number, since it uses less digits than its factorization.

555646616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76070 (or 76059 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 555646616400 in words is "five hundred fifty-five billion, six hundred forty-six million, six hundred sixteen thousand, four hundred".