672443596800 has 714 divisors, whose sum is σ = 2504768382852. Its totient is φ = 178999787520.

The previous prime is 672443596793. The next prime is 672443596801. The reversal of 672443596800 is 8695344276.

672443596800 is a `hidden beast` number, since 6 + 7 + 2 + 4 + 43 + 596 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (672443596801) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1194393319 + ... + 1194393881.

Almost surely, 2^672443596800 is an apocalyptic number.

672443596800 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 672443596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252384191426).

672443596800 is an abundant number, since it is smaller than the sum of its proper divisors (1832324786052).

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

672443596800 is an frugal number, since it uses more digits than its factorization.

672443596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 672443596800 in words is "six hundred seventy-two billion, four hundred forty-three million, five hundred ninety-six thousand, eight hundred".