710849664000 has 1320 divisors, whose sum is σ = 2999981717928. Its totient is φ = 161847705600.

The previous prime is 710849663969. The next prime is 710849664001. The reversal of 710849664000 is 466948017.

It can be written as a sum of positive squares in 4 ways, for example, as 9758278656 + 701091385344 = 98784^2 + 837312^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (710849664001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2765951872 + ... + 2765952128.

Almost surely, 2^710849664000 is an apocalyptic number.

710849664000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 710849664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499990858964).

710849664000 is an abundant number, since it is smaller than the sum of its proper divisors (2289132053928).

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

710849664000 is an equidigital number, since it uses as much as digits as its factorization.

710849664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 710849664000 in words is "seven hundred ten billion, eight hundred forty-nine million, six hundred sixty-four thousand".