673813297440 has 288 divisors, whose sum is σ = 2562787019520. Its totient is φ = 160213082112.

The previous prime is 673813297433. The next prime is 673813297453. The reversal of 673813297440 is 44792318376.

673813297440 is a `hidden beast` number, since 6 + 7 + 3 + 81 + 32 + 97 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 259224 + ... + 1189463.

It is an arithmetic number, because the mean of its divisors is an integer number (8898566040).

Almost surely, 2^673813297440 is an apocalyptic number.

673813297440 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 673813297440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281393509760).

673813297440 is an abundant number, since it is smaller than the sum of its proper divisors (1888973722080).

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

673813297440 is a wasteful number, since it uses less digits than its factorization.

673813297440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448744 (or 1448733 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 673813297440 in words is "six hundred seventy-three billion, eight hundred thirteen million, two hundred ninety-seven thousand, four hundred forty".