668822400 has 192 divisors, whose sum is σ = 2448020400. Its totient is φ = 178329600.

The previous prime is 668822377. The next prime is 668822417. The reversal of 668822400 is 4228866.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 82530 + ... + 90270.

Almost surely, 2^668822400 is an apocalyptic number.

668822400 is a gapful number since it is divisible by the number (60) 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 668822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224010200).

668822400 is an abundant number, since it is smaller than the sum of its proper divisors (1779198000).

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

668822400 is a wasteful number, since it uses less digits than its factorization.

668822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7774 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 668822400 is about 25861.6008785226. The cubic root of 668822400 is about 874.5210548964.

The spelling of 668822400 in words is "six hundred sixty-eight million, eight hundred twenty-two thousand, four hundred".