744399936 has 448 divisors, whose sum is σ = 2731008000. Its totient is φ = 194088960.

The previous prime is 744399919. The next prime is 744399937. The reversal of 744399936 is 639993447.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744399937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9422745 + ... + 9422823.

It is an arithmetic number, because the mean of its divisors is an integer number (6096000).

Almost surely, 2^744399936 is an apocalyptic number.

744399936 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744399936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365504000).

744399936 is an abundant number, since it is smaller than the sum of its proper divisors (1986608064).

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

744399936 is a wasteful number, since it uses less digits than its factorization.

744399936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The square root of 744399936 is about 27283.6935915942. The cubic root of 744399936 is about 906.2933132148.

The spelling of 744399936 in words is "seven hundred forty-four million, three hundred ninety-nine thousand, nine hundred thirty-six".