673838827904 has 256 divisors, whose sum is σ = 1604451317760. Its totient is φ = 278305996800.

The previous prime is 673838827901. The next prime is 673838827919. The reversal of 673838827904 is 409728838376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673838827901) 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, 417754202 + ... + 417755814.

It is an arithmetic number, because the mean of its divisors is an integer number (6267387960).

Almost surely, 2^673838827904 is an apocalyptic number.

673838827904 is a gapful number since it is divisible by the number (64) 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 673838827904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802225658880).

673838827904 is an abundant number, since it is smaller than the sum of its proper divisors (930612489856).

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

673838827904 is a wasteful number, since it uses less digits than its factorization.

673838827904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 65.

The spelling of 673838827904 in words is "six hundred seventy-three billion, eight hundred thirty-eight million, eight hundred twenty-seven thousand, nine hundred four".