667062864000 has 1920 divisors, whose sum is σ = 2854931199120. Its totient is φ = 153413222400.

The previous prime is 667062863963. The next prime is 667062864043. The reversal of 667062864000 is 468260766.

It can be written as a sum of positive squares in 24 ways, for example, as 132257323584 + 534805540416 = 363672^2 + 731304^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 4869071932 + ... + 4869072068.

Almost surely, 2^667062864000 is an apocalyptic number.

667062864000 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 667062864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427465599560).

667062864000 is an abundant number, since it is smaller than the sum of its proper divisors (2187868335120).

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

667062864000 is a wasteful number, since it uses less digits than its factorization.

667062864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 667062864000 in words is "six hundred sixty-seven billion, sixty-two million, eight hundred sixty-four thousand".