713002064775000 has 3072 divisors, whose sum is σ = 3086530289418240. Its totient is φ = 132447052800000.

The previous prime is 713002064774999. The next prime is 713002064775001. The reversal of 713002064775000 is 577460200317.

It is an interprime number because it is at equal distance from previous prime (713002064774999) and next prime (713002064775001).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713002064775001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 786110324547 + ... + 786110325453.

It is an arithmetic number, because the mean of its divisors is an integer number (1004729911920).

Almost surely, 2^{713002064775000} is an apocalyptic number.

713002064775000 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 713002064775000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543265144709120).

713002064775000 is an abundant number, since it is smaller than the sum of its proper divisors (2373528224643240).

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

713002064775000 is a wasteful number, since it uses less digits than its factorization.

713002064775000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 713002064775000 in words is "seven hundred thirteen trillion, two billion, sixty-four million, seven hundred seventy-five thousand".