710493547680 has 1680 divisors, whose sum is σ = 3055125094560. Its totient is φ = 155933309952.

The previous prime is 710493547663. The next prime is 710493547691. The reversal of 710493547680 is 86745394017.

710493547680 is a `hidden beast` number, since 7 + 1 + 0 + 4 + 93 + 5 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-3 number, since 3×710493547680³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 279 ways as a sum of consecutive naturals, for example, 12042263491 + ... + 12042263549.

It is an arithmetic number, because the mean of its divisors is an integer number (1818526842).

Almost surely, 2^710493547680 is an apocalyptic number.

710493547680 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 710493547680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527562547280).

710493547680 is an abundant number, since it is smaller than the sum of its proper divisors (2344631546880).

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

710493547680 is an frugal number, since it uses more digits than its factorization.

710493547680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 710493547680 in words is "seven hundred ten billion, four hundred ninety-three million, five hundred forty-seven thousand, six hundred eighty".