551664000 has 256 divisors, whose sum is σ = 2033553600. Its totient is φ = 146995200.

The previous prime is 551663999. The next prime is 551664017. The reversal of 551664000 is 466155.

It is a happy number.

551664000 is a `hidden beast` number, since 5 + 5 + 16 + 640 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431362 + ... + 432638.

Almost surely, 2^551664000 is an apocalyptic number.

551664000 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 551664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016776800).

551664000 is an abundant number, since it is smaller than the sum of its proper divisors (1481889600).

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

551664000 is a wasteful number, since it uses less digits than its factorization.

551664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 551664000 is about 23487.5286056239. The cubic root of 551664000 is about 820.1467118020.

The spelling of 551664000 in words is "five hundred fifty-one million, six hundred sixty-four thousand".