711506730240 has 288 divisors, whose sum is σ = 2525976835200. Its totient is φ = 189651271680.

The previous prime is 711506730239. The next prime is 711506730283. The reversal of 711506730240 is 42037605117.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×711506730240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 711506730195 and 711506730204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145529716 + ... + 145534604.

It is an arithmetic number, because the mean of its divisors is an integer number (8770752900).

Almost surely, 2^711506730240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 711506730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262988417600).

711506730240 is an abundant number, since it is smaller than the sum of its proper divisors (1814470104960).

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

711506730240 is a wasteful number, since it uses less digits than its factorization.

711506730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9130 (or 9110 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 711506730240 in words is "seven hundred eleven billion, five hundred six million, seven hundred thirty thousand, two hundred forty".