673520883840 has 1344 divisors, whose sum is σ = 2975144382360. Its totient is φ = 144808280064.

The previous prime is 673520883817. The next prime is 673520883901. The reversal of 673520883840 is 48388025376.

673520883840 is a `hidden beast` number, since 6 + 7 + 3 + 520 + 88 + 38 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 596960207424 + 76560676416 = 772632^2 + 276696^2 .

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×673520883840² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 388643614 + ... + 388645346.

Almost surely, 2^673520883840 is an apocalyptic number.

673520883840 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 673520883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487572191180).

673520883840 is an abundant number, since it is smaller than the sum of its proper divisors (2301623498520).

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

673520883840 is a wasteful number, since it uses less digits than its factorization.

673520883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 673520883840 in words is "six hundred seventy-three billion, five hundred twenty million, eight hundred eighty-three thousand, eight hundred forty".