672727680000 has 1100 divisors, whose sum is σ = 2646307722960. Its totient is φ = 169703424000.

The previous prime is 672727679989. The next prime is 672727680029. The reversal of 672727680000 is 86727276.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 984959659 + ... + 984960341.

Almost surely, 2^672727680000 is an apocalyptic number.

672727680000 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 672727680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323153861480).

672727680000 is an abundant number, since it is smaller than the sum of its proper divisors (1973580042960).

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

672727680000 is an equidigital number, since it uses as much as digits as its factorization.

672727680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 672727680000 in words is "six hundred seventy-two billion, seven hundred twenty-seven million, six hundred eighty thousand".