556327779840 has 1920 divisors, whose sum is σ = 2461229971200. Its totient is φ = 115605504000.

The previous prime is 556327779781. The next prime is 556327779851. The reversal of 556327779840 is 48977723655.

556327779840 is a `hidden beast` number, since 5 + 563 + 27 + 7 + 7 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5508195790 + ... + 5508195890.

It is an arithmetic number, because the mean of its divisors is an integer number (1281890610).

Almost surely, 2^556327779840 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 556327779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230614985600).

556327779840 is an abundant number, since it is smaller than the sum of its proper divisors (1904902191360).

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

556327779840 is a wasteful number, since it uses less digits than its factorization.

556327779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 556327779840 in words is "five hundred fifty-six billion, three hundred twenty-seven million, seven hundred seventy-nine thousand, eight hundred forty".