711047726480 has 320 divisors, whose sum is σ = 2108640038400. Its totient is φ = 216884183040.

The previous prime is 711047726471. The next prime is 711047726497. The reversal of 711047726480 is 84627740117.

711047726480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130680560 + ... + 130686000.

It is an arithmetic number, because the mean of its divisors is an integer number (6589500120).

Almost surely, 2^711047726480 is an apocalyptic number.

711047726480 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 711047726480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054320019200).

711047726480 is an abundant number, since it is smaller than the sum of its proper divisors (1397592311920).

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

711047726480 is a wasteful number, since it uses less digits than its factorization.

711047726480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6122 (or 6116 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 47.

The spelling of 711047726480 in words is "seven hundred eleven billion, forty-seven million, seven hundred twenty-six thousand, four hundred eighty".