667238400000 has 648 divisors, whose sum is σ = 2422619700228. Its totient is φ = 176947200000.

The previous prime is 667238399977. The next prime is 667238400029. The reversal of 667238400000 is 4832766.

It can be written as a sum of positive squares in 6 ways, for example, as 273537368064 + 393701031936 = 523008^2 + 627456^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3686399910 + ... + 3686400090.

Almost surely, 2^667238400000 is an apocalyptic number.

667238400000 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 667238400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211309850114).

667238400000 is an abundant number, since it is smaller than the sum of its proper divisors (1755381300228).

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

667238400000 is an frugal number, since it uses more digits than its factorization.

667238400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 667238400000 in words is "six hundred sixty-seven billion, two hundred thirty-eight million, four hundred thousand".