554321664 has 288 divisors, whose sum is σ = 1831424000. Its totient is φ = 164229120.

The previous prime is 554321659. The next prime is 554321671. The reversal of 554321664 is 466123455.

554321664 is a `hidden beast` number, since 554 + 32 + 16 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2785437 + ... + 2785635.

Almost surely, 2^554321664 is an apocalyptic number.

554321664 is a gapful number since it is divisible by the number (54) 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 554321664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915712000).

554321664 is an abundant number, since it is smaller than the sum of its proper divisors (1277102336).

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

554321664 is a wasteful number, since it uses less digits than its factorization.

554321664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 554321664 is about 23544.0366972191. The cubic root of 554321664 is about 821.4616326627.

The spelling of 554321664 in words is "five hundred fifty-four million, three hundred twenty-one thousand, six hundred sixty-four".