743995952704 has 63 divisors (see below), whose sum is σ = 1489114166673. Its totient is φ = 368813434368.

The previous prime is 743995952701. The next prime is 743995952723. The reversal of 743995952704 is 407259599347.

The square root of 743995952704 is 862552.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 437026766400 + 306969186304 = 661080^2 + 554048^2 .

It is a super-3 number, since 3×743995952704³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (743995952701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 945356599 + ... + 945357385.

Almost surely, 2^743995952704 is an apocalyptic number.

743995952704 is the 862552-nd square number.

It is an amenable number.

743995952704 is an abundant number, since it is smaller than the sum of its proper divisors (745118213969).

743995952704 is an frugal number, since it uses more digits than its factorization.

743995952704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 64.

Multiplying 743995952704 by its sum of digits (64), we get a square (47615740973056 = 6900416²).

743995952704 divided by its sum of digits (64) gives a square (11624936761 = 107819²).

The spelling of 743995952704 in words is "seven hundred forty-three billion, nine hundred ninety-five million, nine hundred fifty-two thousand, seven hundred four".