673312640 has 256 divisors, whose sum is σ = 2163248640. Its totient is φ = 193536000.

The previous prime is 673312639. The next prime is 673312669. The reversal of 673312640 is 46213376.

It is a super-2 number, since 2×673312640² = 906699822367539200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 673312597 and 673312606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640115 + ... + 641165.

It is an arithmetic number, because the mean of its divisors is an integer number (8450190).

Almost surely, 2^673312640 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 673312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081624320).

673312640 is an abundant number, since it is smaller than the sum of its proper divisors (1489936000).

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

673312640 is a wasteful number, since it uses less digits than its factorization.

673312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 673312640 is about 25948.2685356846. The cubic root of 673312640 is about 876.4737677590.

It can be divided in two parts, 673 and 312640, that added together give a palindrome (313313).

The spelling of 673312640 in words is "six hundred seventy-three million, three hundred twelve thousand, six hundred forty".