556808127676416 has 3072 divisors, whose sum is σ = 2146789196697600. Its totient is φ = 134881896038400.

The previous prime is 556808127676393. The next prime is 556808127676469. The reversal of 556808127676416 is 614676721808655.

556808127676416 is a `hidden beast` number, since 5 + 5 + 6 + 80 + 8 + 127 + 6 + 7 + 6 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 3334180405165 + ... + 3334180405331.

It is an arithmetic number, because the mean of its divisors is an integer number (698824608300).

Almost surely, 2^{556808127676416} is an apocalyptic number.

556808127676416 is a gapful number since it is divisible by the number (56) 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 556808127676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073394598348800).

556808127676416 is an abundant number, since it is smaller than the sum of its proper divisors (1589981069021184).

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

556808127676416 is a wasteful number, since it uses less digits than its factorization.

556808127676416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 556808127676416 in words is "five hundred fifty-six trillion, eight hundred eight billion, one hundred twenty-seven million, six hundred seventy-six thousand, four hundred sixteen".