667290000 has 400 divisors, whose sum is σ = 2440468800. Its totient is φ = 155904000.

The previous prime is 667289999. The next prime is 667290017. The reversal of 667290000 is 92766.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 667290000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11309971 + ... + 11310029.

It is an arithmetic number, because the mean of its divisors is an integer number (6101172).

Almost surely, 2^667290000 is an apocalyptic number.

667290000 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 667290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220234400).

667290000 is an abundant number, since it is smaller than the sum of its proper divisors (1773178800).

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

667290000 is a wasteful number, since it uses less digits than its factorization.

667290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 667290000 is about 25831.9569525810. The cubic root of 667290000 is about 873.8526458356.

The spelling of 667290000 in words is "six hundred sixty-seven million, two hundred ninety thousand".