734819270656 has 135 divisors (see below), whose sum is σ = 1518776696367. Its totient is φ = 355504619520.

The previous prime is 734819270641. The next prime is 734819270659. The reversal of 734819270656 is 656072918437.

The square root of 734819270656 is 857216.

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

It can be written as a sum of positive squares in 4 ways, for example, as 36618649600 + 698200621056 = 191360^2 + 835584^2 .

It is a super-4 number, since 4×734819270656⁴ (a number of 49 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 734819270656.

It is not an unprimeable number, because it can be changed into a prime (734819270659) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4059774886 + ... + 4059775066.

It is a 1-persistent number, because it is pandigital, but 2⋅734819270656 = 1469638541312 is not.

Almost surely, 2^734819270656 is an apocalyptic number.

734819270656 is the 857216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 734819270656

734819270656 is an abundant number, since it is smaller than the sum of its proper divisors (783957425711).

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

734819270656 is an frugal number, since it uses more digits than its factorization.

734819270656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 734819270656 in words is "seven hundred thirty-four billion, eight hundred nineteen million, two hundred seventy thousand, six hundred fifty-six".