673565760 has 672 divisors, whose sum is σ = 2904865920. Its totient is φ = 146313216.

The previous prime is 673565747. The next prime is 673565773. The reversal of 673565760 is 67565376.

673565760 is a `hidden beast` number, since 6 + 73 + 5 + 6 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (673565747) and next prime (673565773).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15664299 + ... + 15664341.

Almost surely, 2^673565760 is an apocalyptic number.

673565760 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 673565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452432960).

673565760 is an abundant number, since it is smaller than the sum of its proper divisors (2231300160).

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

673565760 is a wasteful number, since it uses less digits than its factorization.

673565760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 673565760 is about 25953.1454741039. The cubic root of 673565760 is about 876.5835856119.

The spelling of 673565760 in words is "six hundred seventy-three million, five hundred sixty-five thousand, seven hundred sixty".