556661456640 has 216 divisors, whose sum is σ = 1943994871728. Its totient is φ = 147055411200.

The previous prime is 556661456609. The next prime is 556661456677. The reversal of 556661456640 is 46654166655.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006840 + ... + 1458440.

It is an arithmetic number, because the mean of its divisors is an integer number (8999976258).

Almost surely, 2^556661456640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556661456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971997435864).

556661456640 is an abundant number, since it is smaller than the sum of its proper divisors (1387333415088).

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

556661456640 is a wasteful number, since it uses less digits than its factorization.

556661456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451735 (or 451718 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 556661456640 in words is "five hundred fifty-six billion, six hundred sixty-one million, four hundred fifty-six thousand, six hundred forty".