65264040576 has 960 divisors, whose sum is σ = 243767335680. Its totient is φ = 16963375104.

The previous prime is 65264040559. The next prime is 65264040577. The reversal of 65264040576 is 67504046256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65264040577) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1231396966 + ... + 1231397018.

It is an arithmetic number, because the mean of its divisors is an integer number (253924308).

Almost surely, 2^65264040576 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 65264040576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121883667840).

65264040576 is an abundant number, since it is smaller than the sum of its proper divisors (178503295104).

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

65264040576 is a wasteful number, since it uses less digits than its factorization.

65264040576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 65264040576 in words is "sixty-five billion, two hundred sixty-four million, forty thousand, five hundred seventy-six".