65305263744 has 320 divisors, whose sum is σ = 224105048640. Its totient is φ = 18491203584.

The previous prime is 65305263733. The next prime is 65305263767. The reversal of 65305263744 is 44736250356.

65305263744 is a `hidden beast` number, since 6 + 5 + 3 + 0 + 5 + 2 + 637 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 65305263744.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8197107 + ... + 8205069.

It is an arithmetic number, because the mean of its divisors is an integer number (700328277).

Almost surely, 2^65305263744 is an apocalyptic number.

65305263744 is a gapful number since it is divisible by the number (64) 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 65305263744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112052524320).

65305263744 is an abundant number, since it is smaller than the sum of its proper divisors (158799784896).

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

65305263744 is a wasteful number, since it uses less digits than its factorization.

65305263744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8109 (or 8088 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 65305263744 in words is "sixty-five billion, three hundred five million, two hundred sixty-three thousand, seven hundred forty-four".