743873906880 has 2240 divisors, whose sum is σ = 3211993128960. Its totient is φ = 161641267200.

The previous prime is 743873906873. The next prime is 743873906891. The reversal of 743873906880 is 88609378347.

It is a super-2 number, since 2×743873906880² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10477097245 + ... + 10477097315.

It is an arithmetic number, because the mean of its divisors is an integer number (1433925504).

Almost surely, 2^743873906880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 743873906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605996564480).

743873906880 is an abundant number, since it is smaller than the sum of its proper divisors (2468119222080).

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

743873906880 is a wasteful number, since it uses less digits than its factorization.

743873906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 743873906880 in words is "seven hundred forty-three billion, eight hundred seventy-three million, nine hundred six thousand, eight hundred eighty".