673336440 has 480 divisors, whose sum is σ = 2752822800. Its totient is φ = 142248960.

The previous prime is 673336409. The next prime is 673336457. The reversal of 673336440 is 44633376.

673336440 is a `hidden beast` number, since 6 + 7 + 3 + 3 + 3 + 644 + 0 = 666.

It is a super-2 number, since 2×673336440² = 906763922863747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 673336395 and 673336404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16422820 + ... + 16422860.

Almost surely, 2^673336440 is an apocalyptic number.

673336440 is a gapful number since it is divisible by the number (60) 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 673336440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376411400).

673336440 is an abundant number, since it is smaller than the sum of its proper divisors (2079486360).

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

673336440 is a wasteful number, since it uses less digits than its factorization.

673336440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 673336440 is about 25948.7271364127. The cubic root of 673336440 is about 876.4840947249.

The spelling of 673336440 in words is "six hundred seventy-three million, three hundred thirty-six thousand, four hundred forty".