673541561088 has 288 divisors, whose sum is σ = 2247785164800. Its totient is φ = 197064806400.

The previous prime is 673541561083. The next prime is 673541561137. The reversal of 673541561088 is 880165145376.

It is a happy number.

673541561088 is a `hidden beast` number, since 6 + 7 + 3 + 5 + 4 + 15 + 610 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (673541561083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2052193 + ... + 2357663.

It is an arithmetic number, because the mean of its divisors is an integer number (7804809600).

Almost surely, 2^673541561088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673541561088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123892582400).

673541561088 is an abundant number, since it is smaller than the sum of its proper divisors (1574243603712).

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

673541561088 is a wasteful number, since it uses less digits than its factorization.

673541561088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305536 (or 305516 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 673541561088 in words is "six hundred seventy-three billion, five hundred forty-one million, five hundred sixty-one thousand, eighty-eight".