673996371840 has 768 divisors, whose sum is σ = 2659544409600. Its totient is φ = 155689205760.

The previous prime is 673996371827. The next prime is 673996371869. The reversal of 673996371840 is 48173699376.

673996371840 is a `hidden beast` number, since 6 + 7 + 399 + 63 + 7 + 184 + 0 = 666.

It is a super-2 number, since 2×673996371840² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 461957031 + ... + 461958489.

It is an arithmetic number, because the mean of its divisors is an integer number (3462948450).

Almost surely, 2^673996371840 is an apocalyptic number.

673996371840 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 673996371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329772204800).

673996371840 is an abundant number, since it is smaller than the sum of its proper divisors (1985548037760).

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

673996371840 is a wasteful number, since it uses less digits than its factorization.

673996371840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 673996371840 in words is "six hundred seventy-three billion, nine hundred ninety-six million, three hundred seventy-one thousand, eight hundred forty".