744395839325064 has 96 divisors (see below), whose sum is σ = 2019062184110400. Its totient is φ = 247764093252480.

The previous prime is 744395839325063. The next prime is 744395839325087. The reversal of 744395839325064 is 460523938593447.

It is a happy number.

744395839325064 is a `hidden beast` number, since 7 + 4 + 4 + 3 + 9 + 5 + 83 + 9 + 32 + 506 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 744395839324983 and 744395839325001.

It is not an unprimeable number, because it can be changed into a prime (744395839325063) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 219878274 + ... + 223238094.

It is an arithmetic number, because the mean of its divisors is an integer number (21031897751150).

Almost surely, 2^{744395839325064} is an apocalyptic number.

It is an amenable number.

744395839325064 is an abundant number, since it is smaller than the sum of its proper divisors (1274666344785336).

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

744395839325064 is a wasteful number, since it uses less digits than its factorization.

744395839325064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364395 (or 3364388 counting only the distinct ones).

The product of its (nonzero) digits is 2351462400, while the sum is 72.

The spelling of 744395839325064 in words is "seven hundred forty-four trillion, three hundred ninety-five billion, eight hundred thirty-nine million, three hundred twenty-five thousand, sixty-four".