667352400 has 240 divisors, whose sum is σ = 2512130880. Its totient is φ = 149299200.

The previous prime is 667352381. The next prime is 667352401. The reversal of 667352400 is 4253766.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667352401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169656 + ... + 173544.

It is an arithmetic number, because the mean of its divisors is an integer number (10467212).

Almost surely, 2^667352400 is an apocalyptic number.

667352400 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 667352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256065440).

667352400 is an abundant number, since it is smaller than the sum of its proper divisors (1844778480).

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

667352400 is a wasteful number, since it uses less digits than its factorization.

667352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 667352400 is about 25833.1647306326. The cubic root of 667352400 is about 873.8798837210.

The spelling of 667352400 in words is "six hundred sixty-seven million, three hundred fifty-two thousand, four hundred".