743331048768 has 1680 divisors, whose sum is σ = 2946750349312. Its totient is φ = 181062604800.

The previous prime is 743331048749. The next prime is 743331048769. The reversal of 743331048768 is 867840133347.

743331048768 is a `hidden beast` number, since 74 + 3 + 3 + 31 + 0 + 487 + 68 = 666.

743331048768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743331048769) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5853000321 + ... + 5853000447.

Almost surely, 2^743331048768 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 743331048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473375174656).

743331048768 is an abundant number, since it is smaller than the sum of its proper divisors (2203419300544).

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

743331048768 is a wasteful number, since it uses less digits than its factorization.

743331048768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 743331048768 in words is "seven hundred forty-three billion, three hundred thirty-one million, forty-eight thousand, seven hundred sixty-eight".