764437211041 has 81 divisors (see below), whose sum is σ = 949847545881. Its totient is φ = 613395635328.

The previous prime is 764437211003. The next prime is 764437211077. The reversal of 764437211041 is 140112734467.

The square root of 764437211041 is 874321.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6485886225 + 757951324816 = 80535^2 + 870604^2 .

It is not a de Polignac number, because 764437211041 - 2⁷ = 764437210913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 764437210985 and 764437211003.

It is not an unprimeable number, because it can be changed into a prime (764437211641) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10471742581 + ... + 10471742653.

Almost surely, 2^764437211041 is an apocalyptic number.

764437211041 is the 874321-st square number.

764437211041 is the 437161-st centered octagonal number.

It is an amenable number.

764437211041 is a deficient number, since it is larger than the sum of its proper divisors (185410334840).

764437211041 is an frugal number, since it uses more digits than its factorization.

764437211041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 764437211041 in words is "seven hundred sixty-four billion, four hundred thirty-seven million, two hundred eleven thousand, forty-one".