673582285376 has 224 divisors, whose sum is σ = 1798303223808. Its totient is φ = 241754204160.

The previous prime is 673582285357. The next prime is 673582285381.

673582285376 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×673582285376² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32213741 + ... + 32234643.

It is an arithmetic number, because the mean of its divisors is an integer number (8028139392).

Almost surely, 2^673582285376 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 673582285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899151611904).

673582285376 is an abundant number, since it is smaller than the sum of its proper divisors (1124720938432).

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

673582285376 is a wasteful number, since it uses less digits than its factorization.

673582285376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21449 (or 21439 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 62.

The spelling of 673582285376 in words is "six hundred seventy-three billion, five hundred eighty-two million, two hundred eighty-five thousand, three hundred seventy-six".