744961536 has 400 divisors, whose sum is σ = 2566764288. Its totient is φ = 212889600.

The previous prime is 744961517. The next prime is 744961537. The reversal of 744961536 is 635169447.

744961536 is a `hidden beast` number, since 7 + 4 + 496 + 153 + 6 = 666.

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

Its product of digits (544320) is a multiple of the sum of its prime factors (135).

It is a junction number, because it is equal to n+sod(n) for n = 744961491 and 744961500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744961537) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10492381 + ... + 10492451.

Almost surely, 2^744961536 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 744961536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283382144).

744961536 is an abundant number, since it is smaller than the sum of its proper divisors (1821802752).

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

744961536 is a wasteful number, since it uses less digits than its factorization.

744961536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 744961536 is about 27293.9835128550. The cubic root of 744961536 is about 906.5211685016.

The spelling of 744961536 in words is "seven hundred forty-four million, nine hundred sixty-one thousand, five hundred thirty-six".