673873661260800 has 7920 divisors, whose sum is σ = 3591076851996480. Its totient is φ = 122401456128000.

The previous prime is 673873661260799. The next prime is 673873661260853. The reversal of 673873661260800 is 8062166378376.

673873661260800 is a `hidden beast` number, since 6 + 7 + 3 + 8 + 7 + 3 + 6 + 6 + 12 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7920).

It is a super-2 number, since 2×673873661260800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 276064587580 + ... + 276064590020.

It is an arithmetic number, because the mean of its divisors is an integer number (453418794444).

Almost surely, 2^{673873661260800} is an apocalyptic number.

673873661260800 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 673873661260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795538425998240).

673873661260800 is an abundant number, since it is smaller than the sum of its proper divisors (2917203190735680).

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

673873661260800 is a wasteful number, since it uses less digits than its factorization.

673873661260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 673873661260800 in words is "six hundred seventy-three trillion, eight hundred seventy-three billion, six hundred sixty-one million, two hundred sixty thousand, eight hundred".