744848064 has 336 divisors, whose sum is σ = 2432121120. Its totient is φ = 216760320.

The previous prime is 744848029. The next prime is 744848087. The reversal of 744848064 is 460848447.

744848064 is a `hidden beast` number, since 74 + 48 + 480 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12210594 + ... + 12210654.

Almost surely, 2^744848064 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 744848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216060560).

744848064 is an abundant number, since it is smaller than the sum of its proper divisors (1687273056).

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

744848064 is a wasteful number, since it uses less digits than its factorization.

744848064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 744848064 is about 27291.9047338217. The cubic root of 744848064 is about 906.4751392825.

The spelling of 744848064 in words is "seven hundred forty-four million, eight hundred forty-eight thousand, sixty-four".