673749504 has 60 divisors (see below), whose sum is σ = 1944499986. Its totient is φ = 224581632.

The previous prime is 673749473. The next prime is 673749523. The reversal of 673749504 is 405947376.

673749504 is a `hidden beast` number, since 6 + 73 + 74 + 9 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 366799104 + 306950400 = 19152^2 + 17520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 673749504.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 68499 + ... + 77714.

Almost surely, 2^673749504 is an apocalyptic number.

673749504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

673749504 is an abundant number, since it is smaller than the sum of its proper divisors (1270750482).

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

673749504 is a wasteful number, since it uses less digits than its factorization.

673749504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146237 (or 146218 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 673749504 is about 25956.6851504579. The cubic root of 673749504 is about 876.6632869765.

The spelling of 673749504 in words is "six hundred seventy-three million, seven hundred forty-nine thousand, five hundred four".