673708640 has 288 divisors, whose sum is σ = 1954653120. Its totient is φ = 218071040.

The previous prime is 673708639. The next prime is 673708661. The reversal of 673708640 is 46807376.

It is a super-2 number, since 2×673708640² = 907766663221299200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7569716 + ... + 7569804.

It is an arithmetic number, because the mean of its divisors is an integer number (6786990).

Almost surely, 2^673708640 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 673708640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977326560).

673708640 is an abundant number, since it is smaller than the sum of its proper divisors (1280944480).

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

673708640 is a wasteful number, since it uses less digits than its factorization.

673708640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 673708640 is about 25955.8979809985. The cubic root of 673708640 is about 876.6455629348.

The spelling of 673708640 in words is "six hundred seventy-three million, seven hundred eight thousand, six hundred forty".