672089333760 has 672 divisors, whose sum is σ = 2552578872480. Its totient is φ = 162564931584.

The previous prime is 672089333749. The next prime is 672089333767. The reversal of 672089333760 is 67333980276.

672089333760 is a `hidden beast` number, since 67 + 208 + 9 + 3 + 3 + 376 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 672089333697 and 672089333706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672089333767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282745692 + ... + 282748068.

It is an arithmetic number, because the mean of its divisors is an integer number (3798480465).

Almost surely, 2^672089333760 is an apocalyptic number.

672089333760 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 672089333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276289436240).

672089333760 is an abundant number, since it is smaller than the sum of its proper divisors (1880489538720).

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

672089333760 is a wasteful number, since it uses less digits than its factorization.

672089333760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 672089333760 in words is "six hundred seventy-two billion, eighty-nine million, three hundred thirty-three thousand, seven hundred sixty".