1673013198240 has 288 divisors, whose sum is σ = 5848179232896. Its totient is φ = 435295365120.

The previous prime is 1673013198223. The next prime is 1673013198247. The reversal of 1673013198240 is 428913103761.

1673013198240 is a `hidden beast` number, since 1 + 6 + 7 + 301 + 319 + 8 + 24 + 0 = 666.

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

It is a super-2 number, since 2×1673013198240² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1673013198247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59862670 + ... + 59890610.

It is an arithmetic number, because the mean of its divisors is an integer number (20306177892).

Almost surely, 2^{1673013198240} is an apocalyptic number.

1673013198240 is a gapful number since it is divisible by the number (10) 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 1673013198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924089616448).

1673013198240 is an abundant number, since it is smaller than the sum of its proper divisors (4175166034656).

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

1673013198240 is a wasteful number, since it uses less digits than its factorization.

1673013198240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28972 (or 28961 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1673013198240 in words is "one trillion, six hundred seventy-three billion, thirteen million, one hundred ninety-eight thousand, two hundred forty".