744496704 has 224 divisors, whose sum is σ = 2544876800. Its totient is φ = 209018880.

The previous prime is 744496663. The next prime is 744496747. The reversal of 744496704 is 407694447.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 744496704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737352 + ... + 738360.

Almost surely, 2^744496704 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 744496704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272438400).

744496704 is an abundant number, since it is smaller than the sum of its proper divisors (1800380096).

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

744496704 is a wasteful number, since it uses less digits than its factorization.

744496704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 744496704 is about 27285.4669008980. The cubic root of 744496704 is about 906.3325826036.

The spelling of 744496704 in words is "seven hundred forty-four million, four hundred ninety-six thousand, seven hundred four".