673618603388160 has 1152 divisors, whose sum is σ = 2483626947379200. Its totient is φ = 154710758522880.

The previous prime is 673618603388149. The next prime is 673618603388167. The reversal of 673618603388160 is 61883306816376.

It is a junction number, because it is equal to n+sod(n) for n = 673618603388091 and 673618603388100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673618603388167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2426729697 + ... + 2427007263.

It is an arithmetic number, because the mean of its divisors is an integer number (2155926169600).

Almost surely, 2^{673618603388160} is an apocalyptic number.

673618603388160 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 673618603388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241813473689600).

673618603388160 is an abundant number, since it is smaller than the sum of its proper divisors (1810008343991040).

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

673618603388160 is a wasteful number, since it uses less digits than its factorization.

673618603388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277707 (or 277693 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 66.

The spelling of 673618603388160 in words is "six hundred seventy-three trillion, six hundred eighteen billion, six hundred three million, three hundred eighty-eight thousand, one hundred sixty".