713066766048 has 1536 divisors, whose sum is σ = 2799459532800. Its totient is φ = 173537925120.

The previous prime is 713066766047. The next prime is 713066766053. The reversal of 713066766048 is 840667660317.

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

It is a junction number, because it is equal to n+sod(n) for n = 713066765985 and 713066766003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713066766047) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8591165815 + ... + 8591165897.

It is an arithmetic number, because the mean of its divisors is an integer number (1822564800).

Almost surely, 2^713066766048 is an apocalyptic number.

713066766048 is a gapful number since it is divisible by the number (78) 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 713066766048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399729766400).

713066766048 is an abundant number, since it is smaller than the sum of its proper divisors (2086392766752).

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

713066766048 is a wasteful number, since it uses less digits than its factorization.

713066766048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 713066766048 in words is "seven hundred thirteen billion, sixty-six million, seven hundred sixty-six thousand, forty-eight".