551768000 has 224 divisors, whose sum is σ = 1597639680. Its totient is φ = 184857600.

The previous prime is 551767991. The next prime is 551768023. The reversal of 551768000 is 867155.

551768000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3303917 + ... + 3304083.

It is an arithmetic number, because the mean of its divisors is an integer number (7132320).

Almost surely, 2^551768000 is an apocalyptic number.

551768000 is a gapful number since it is divisible by the number (50) 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 551768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798819840).

551768000 is an abundant number, since it is smaller than the sum of its proper divisors (1045871680).

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

551768000 is a wasteful number, since it uses less digits than its factorization.

551768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 551768000 is about 23489.7424421810. The cubic root of 551768000 is about 820.1982467330.

The spelling of 551768000 in words is "five hundred fifty-one million, seven hundred sixty-eight thousand".