673751520 has 576 divisors, whose sum is σ = 2712213504. Its totient is φ = 156764160.

The previous prime is 673751513. The next prime is 673751521. The reversal of 673751520 is 25157376.

673751520 is a `hidden beast` number, since 67 + 3 + 75 + 1 + 520 = 666.

It is a super-2 number, since 2×673751520² = 907882221404620800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673751521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15668619 + ... + 15668661.

It is an arithmetic number, because the mean of its divisors is an integer number (4708704).

Almost surely, 2^673751520 is an apocalyptic number.

673751520 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 673751520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356106752).

673751520 is an abundant number, since it is smaller than the sum of its proper divisors (2038461984).

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

673751520 is a wasteful number, since it uses less digits than its factorization.

673751520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 673751520 is about 25956.7239843552. The cubic root of 673751520 is about 876.6641613625.

The spelling of 673751520 in words is "six hundred seventy-three million, seven hundred fifty-one thousand, five hundred twenty".