670644576000 has 2304 divisors, whose sum is σ = 3020279808000. Its totient is φ = 146313216000.

The previous prime is 670644575983. The next prime is 670644576001. The reversal of 670644576000 is 675446076.

It is a happy number.

670644576000 is a `hidden beast` number, since 6 + 70 + 6 + 4 + 4 + 576 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670644576001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9186911964 + ... + 9186912036.

Almost surely, 2^670644576000 is an apocalyptic number.

670644576000 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 670644576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510139904000).

670644576000 is an abundant number, since it is smaller than the sum of its proper divisors (2349635232000).

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

670644576000 is an equidigital number, since it uses as much as digits as its factorization.

670644576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 670644576000 in words is "six hundred seventy billion, six hundred forty-four million, five hundred seventy-six thousand".