744978624 has 224 divisors, whose sum is σ = 2283293376. Its totient is φ = 212336640.

The previous prime is 744978601. The next prime is 744978629. The reversal of 744978624 is 426879447.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (744978629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4115814 + ... + 4115994.

It is an arithmetic number, because the mean of its divisors is an integer number (10193274).

Almost surely, 2^744978624 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 744978624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141646688).

744978624 is an abundant number, since it is smaller than the sum of its proper divisors (1538314752).

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

744978624 is a wasteful number, since it uses less digits than its factorization.

744978624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The square root of 744978624 is about 27294.2965470810. The cubic root of 744978624 is about 906.5280997388.

The spelling of 744978624 in words is "seven hundred forty-four million, nine hundred seventy-eight thousand, six hundred twenty-four".