673791439104 has 405 divisors, whose sum is σ = 2272868909493. Its totient is φ = 191960229888.

The previous prime is 673791439043. The next prime is 673791439121. The reversal of 673791439104 is 401934197376.

The square root of 673791439104 is 820848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 494557749504 + 179233689600 = 703248^2 + 423360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1930634322 + ... + 1930634670.

Almost surely, 2^673791439104 is an apocalyptic number.

673791439104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

673791439104 is the 820848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673791439104

673791439104 is an abundant number, since it is smaller than the sum of its proper divisors (1599077470389).

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

673791439104 is an frugal number, since it uses more digits than its factorization.

673791439104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 673791439104 in words is "six hundred seventy-three billion, seven hundred ninety-one million, four hundred thirty-nine thousand, one hundred four".