667072800 has 288 divisors, whose sum is σ = 2446718400. Its totient is φ = 175380480.

The previous prime is 667072793. The next prime is 667072801. The reversal of 667072800 is 8270766.

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

It is a super-2 number, since 2×667072800² = 889972240999680000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (667072801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1922227 + ... + 1922573.

It is an arithmetic number, because the mean of its divisors is an integer number (8495550).

Almost surely, 2^667072800 is an apocalyptic number.

667072800 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 667072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223359200).

667072800 is an abundant number, since it is smaller than the sum of its proper divisors (1779645600).

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

667072800 is a wasteful number, since it uses less digits than its factorization.

667072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 667072800 is about 25827.7525154629. The cubic root of 667072800 is about 873.7578237985.

The spelling of 667072800 in words is "six hundred sixty-seven million, seventy-two thousand, eight hundred".