672908233200 has 960 divisors, whose sum is σ = 2691926753280. Its totient is φ = 140216832000.

The previous prime is 672908233187. The next prime is 672908233201. The reversal of 672908233200 is 2332809276.

672908233200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672908233201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1370484955 + ... + 1370485445.

It is an arithmetic number, because the mean of its divisors is an integer number (2804090368).

Almost surely, 2^672908233200 is an apocalyptic number.

672908233200 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 672908233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345963376640).

672908233200 is an abundant number, since it is smaller than the sum of its proper divisors (2019018520080).

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

672908233200 is a wasteful number, since it uses less digits than its factorization.

672908233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 672908233200 in words is "six hundred seventy-two billion, nine hundred eight million, two hundred thirty-three thousand, two hundred".