668583552 has 384 divisors, whose sum is σ = 2350373760. Its totient is φ = 163897344.

The previous prime is 668583551. The next prime is 668583563. The reversal of 668583552 is 255385866.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1728000) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668583551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12614758 + ... + 12614810.

It is an arithmetic number, because the mean of its divisors is an integer number (6120765).

Almost surely, 2^668583552 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 668583552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175186880).

668583552 is an abundant number, since it is smaller than the sum of its proper divisors (1681790208).

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

668583552 is a wasteful number, since it uses less digits than its factorization.

668583552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 97 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 48.

The square root of 668583552 is about 25856.9826545945. The cubic root of 668583552 is about 874.4169403241.

The spelling of 668583552 in words is "six hundred sixty-eight million, five hundred eighty-three thousand, five hundred fifty-two".