743995736064 has 864 divisors, whose sum is σ = 2638173597696. Its totient is φ = 205117194240.

The previous prime is 743995736063. The next prime is 743995736069. The reversal of 743995736064 is 460637599347.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 743995735992 and 743995736010.

It is not an unprimeable number, because it can be changed into a prime (743995736063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10478813149 + ... + 10478813219.

It is an arithmetic number, because the mean of its divisors is an integer number (3053441664).

Almost surely, 2^743995736064 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 743995736064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319086798848).

743995736064 is an abundant number, since it is smaller than the sum of its proper divisors (1894177861632).

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

743995736064 is an frugal number, since it uses more digits than its factorization.

743995736064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 743995736064 in words is "seven hundred forty-three billion, nine hundred ninety-five million, seven hundred thirty-six thousand, sixty-four".