65268934272 has 320 divisors, whose sum is σ = 197909153640. Its totient is φ = 21349785600.

The previous prime is 65268934271. The next prime is 65268934301. The reversal of 65268934272 is 27243986256.

65268934272 is a `hidden beast` number, since 6 + 526 + 8 + 9 + 3 + 42 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64341366336 + 927567936 = 253656^2 + 30456^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (65268934271) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164405178 + ... + 164405574.

Almost surely, 2^65268934272 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 65268934272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98954576820).

65268934272 is an abundant number, since it is smaller than the sum of its proper divisors (132640219368).

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

65268934272 is a wasteful number, since it uses less digits than its factorization.

65268934272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 660 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 65268934272 in words is "sixty-five billion, two hundred sixty-eight million, nine hundred thirty-four thousand, two hundred seventy-two".