673508183040 has 2640 divisors, whose sum is σ = 3220295595264. Its totient is φ = 132843110400.

The previous prime is 673508183039. The next prime is 673508183077. The reversal of 673508183040 is 40381805376.

673508183040 is a `hidden beast` number, since 6 + 73 + 508 + 1 + 8 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a super-2 number, since 2×673508183040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5141283775 + ... + 5141283905.

Almost surely, 2^673508183040 is an apocalyptic number.

673508183040 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 673508183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610147797632).

673508183040 is an abundant number, since it is smaller than the sum of its proper divisors (2546787412224).

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

673508183040 is a wasteful number, since it uses less digits than its factorization.

673508183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 673508183040 in words is "six hundred seventy-three billion, five hundred eight million, one hundred eighty-three thousand, forty".