556748354546640 has 240 divisors, whose sum is σ = 1951807253340672. Its totient is φ = 141955319801856.

The previous prime is 556748354546627. The next prime is 556748354546647. The reversal of 556748354546640 is 46645453847655.

556748354546640 is a `hidden beast` number, since 5 + 5 + 6 + 7 + 4 + 8 + 35 + 4 + 546 + 6 + 40 = 666.

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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556748354546647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35501764 + ... + 48722396.

Almost surely, 2^{556748354546640} 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 556748354546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975903626670336).

556748354546640 is an abundant number, since it is smaller than the sum of its proper divisors (1395058898794032).

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

556748354546640 is a wasteful number, since it uses less digits than its factorization.

556748354546640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13223218 (or 13223209 counting only the distinct ones).

The product of its (nonzero) digits is 5806080000, while the sum is 72.

The spelling of 556748354546640 in words is "five hundred fifty-six trillion, seven hundred forty-eight billion, three hundred fifty-four million, five hundred forty-six thousand, six hundred forty".