667520000 has 220 divisors, whose sum is σ = 1918448400. Its totient is φ = 227328000.

The previous prime is 667519973. The next prime is 667520017. The reversal of 667520000 is 25766.

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 19 ways as a sum of consecutive naturals, for example, 4479926 + ... + 4480074.

It is an arithmetic number, because the mean of its divisors is an integer number (8720220).

Almost surely, 2^667520000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959224200).

667520000 is an abundant number, since it is smaller than the sum of its proper divisors (1250928400).

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

667520000 is an equidigital number, since it uses as much as digits as its factorization.

667520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 667520000 is about 25836.4084191282. The cubic root of 667520000 is about 873.9530334838.

Adding to 667520000 its reverse (25766), we get a palindrome (667545766).

The spelling of 667520000 in words is "six hundred sixty-seven million, five hundred twenty thousand".