667963680 has 96 divisors (see below), whose sum is σ = 2108913408. Its totient is φ = 177715200.

The previous prime is 667963661. The next prime is 667963691. The reversal of 667963680 is 86369766.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 248745 + ... + 251415.

It is an arithmetic number, because the mean of its divisors is an integer number (21967848).

Almost surely, 2^667963680 is an apocalyptic number.

667963680 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 667963680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054456704).

667963680 is an abundant number, since it is smaller than the sum of its proper divisors (1440949728).

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

667963680 is a wasteful number, since it uses less digits than its factorization.

667963680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 667963680 is about 25844.9933255940. The cubic root of 667963680 is about 874.1466204943.

The spelling of 667963680 in words is "six hundred sixty-seven million, nine hundred sixty-three thousand, six hundred eighty".