746643744 has 576 divisors, whose sum is σ = 2905943040. Its totient is φ = 182891520.

The previous prime is 746643713. The next prime is 746643749. The reversal of 746643744 is 447346647.

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

It is a self number, because there is not a number n which added to its sum of digits gives 746643744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746643749) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17363787 + ... + 17363829.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2^746643744 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 746643744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452971520).

746643744 is an abundant number, since it is smaller than the sum of its proper divisors (2159299296).

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

746643744 is a wasteful number, since it uses less digits than its factorization.

746643744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 45.

The square root of 746643744 is about 27324.7825974883. The cubic root of 746643744 is about 907.2029982264.

The spelling of 746643744 in words is "seven hundred forty-six million, six hundred forty-three thousand, seven hundred forty-four".