673825870080 has 864 divisors, whose sum is σ = 2710905200640. Its totient is φ = 152893931520.

The previous prime is 673825870021. The next prime is 673825870093. The reversal of 673825870080 is 80078528376.

It is a junction number, because it is equal to n+sod(n) for n = 673825869999 and 673825870026.

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, 136981861 + ... + 136986779.

It is an arithmetic number, because the mean of its divisors is an integer number (3137621760).

Almost surely, 2^673825870080 is an apocalyptic number.

673825870080 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 673825870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355452600320).

673825870080 is an abundant number, since it is smaller than the sum of its proper divisors (2037079330560).

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

673825870080 is a wasteful number, since it uses less digits than its factorization.

673825870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 673825870080 in words is "six hundred seventy-three billion, eight hundred twenty-five million, eight hundred seventy thousand, eighty".