744470567456020 has 48 divisors (see below), whose sum is σ = 1613961315097488. Its totient is φ = 288238653480960.

The previous prime is 744470567455987. The next prime is 744470567456051. The reversal of 744470567456020 is 20654765074447.

It can be written as a sum of positive squares in 8 ways, for example, as 29451417271056 + 715019150184964 = 5426916^2 + 26739842^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 744470567456020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2606181811 + ... + 2606467450.

It is an arithmetic number, because the mean of its divisors is an integer number (33624194064531).

Almost surely, 2^{744470567456020} is an apocalyptic number.

It is an amenable number.

744470567456020 is an abundant number, since it is smaller than the sum of its proper divisors (869490747641468).

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

744470567456020 is a wasteful number, since it uses less digits than its factorization.

744470567456020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212649500 (or 5212649498 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 61.

The spelling of 744470567456020 in words is "seven hundred forty-four trillion, four hundred seventy billion, five hundred sixty-seven million, four hundred fifty-six thousand, twenty".