673158245760 has 1024 divisors, whose sum is σ = 3201114470400. Its totient is φ = 129113948160.

The previous prime is 673158245741. The next prime is 673158245777. The reversal of 673158245760 is 67542851376.

673158245760 is a `hidden beast` number, since 6 + 7 + 3 + 1 + 582 + 4 + 57 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 673158245697 and 673158245706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17277822 + ... + 17316738.

It is an arithmetic number, because the mean of its divisors is an integer number (3126088350).

Almost surely, 2^673158245760 is an apocalyptic number.

673158245760 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 673158245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600557235200).

673158245760 is an abundant number, since it is smaller than the sum of its proper divisors (2527956224640).

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

673158245760 is a wasteful number, since it uses less digits than its factorization.

673158245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38976 (or 38958 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 673158245760 in words is "six hundred seventy-three billion, one hundred fifty-eight million, two hundred forty-five thousand, seven hundred sixty".