673828678320 has 960 divisors, whose sum is σ = 2623528512000. Its totient is φ = 142216445952.

The previous prime is 673828678319. The next prime is 673828678361. The reversal of 673828678320 is 23876828376.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1777911891 + ... + 1777912269.

It is an arithmetic number, because the mean of its divisors is an integer number (2732842200).

Almost surely, 2^673828678320 is an apocalyptic number.

673828678320 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 673828678320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311764256000).

673828678320 is an abundant number, since it is smaller than the sum of its proper divisors (1949699833680).

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

673828678320 is a wasteful number, since it uses less digits than its factorization.

673828678320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 673828678320 in words is "six hundred seventy-three billion, eight hundred twenty-eight million, six hundred seventy-eight thousand, three hundred twenty".