556675413840 has 960 divisors, whose sum is σ = 2392441159680. Its totient is φ = 116485724160.

The previous prime is 556675413821. The next prime is 556675413881. The reversal of 556675413840 is 48314576655.

It is a happy number.

556675413840 is a `hidden beast` number, since 5 + 5 + 6 + 67 + 541 + 38 + 4 + 0 = 666.

It is a super-3 number, since 3×556675413840³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 334740849 + ... + 334742511.

It is an arithmetic number, because the mean of its divisors is an integer number (2492126208).

Almost surely, 2^556675413840 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 556675413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196220579840).

556675413840 is an abundant number, since it is smaller than the sum of its proper divisors (1835765745840).

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

556675413840 is a wasteful number, since it uses less digits than its factorization.

556675413840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 556675413840 in words is "five hundred fifty-six billion, six hundred seventy-five million, four hundred thirteen thousand, eight hundred forty".