673741824 has 352 divisors, whose sum is σ = 2310981120. Its totient is φ = 169869312.

The previous prime is 673741823. The next prime is 673741907. The reversal of 673741824 is 428147376.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673741823) 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, 6945744 + ... + 6945840.

Almost surely, 2^673741824 is an apocalyptic number.

673741824 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 673741824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155490560).

673741824 is an abundant number, since it is smaller than the sum of its proper divisors (1637239296).

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

673741824 is a wasteful number, since it uses less digits than its factorization.

673741824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 673741824 is about 25956.5372112691. The cubic root of 673741824 is about 876.6599559662.

The spelling of 673741824 in words is "six hundred seventy-three million, seven hundred forty-one thousand, eight hundred twenty-four".