673618740848640 has 288 divisors, whose sum is σ = 2336332500520200. Its totient is φ = 179501556695040.

The previous prime is 673618740848623. The next prime is 673618740848671. The reversal of 673618740848640 is 46848047816376.

673618740848640 is a `hidden beast` number, since 6 + 7 + 3 + 61 + 8 + 7 + 40 + 8 + 486 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 478870240674816 + 194748500173824 = 21883104^2 + 13955232^2 .

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

It is a super-4 number, since 4×673618740848640⁴ (a number of 60 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124626606 + ... + 129919314.

Almost surely, 2^{673618740848640} is an apocalyptic number.

673618740848640 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 673618740848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168166250260100).

673618740848640 is an abundant number, since it is smaller than the sum of its proper divisors (1662713759671560).

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

673618740848640 is a wasteful number, since it uses less digits than its factorization.

673618740848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5294123 (or 5294100 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 72.

The spelling of 673618740848640 in words is "six hundred seventy-three trillion, six hundred eighteen billion, seven hundred forty million, eight hundred forty-eight thousand, six hundred forty".