65244065040 has 960 divisors, whose sum is σ = 300169359360. Its totient is φ = 12280688640.

The previous prime is 65244065023. The next prime is 65244065071. The reversal of 65244065040 is 4056044256.

65244065040 is a `hidden beast` number, since 6 + 524 + 40 + 6 + 50 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65244064986 and 65244065004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24225934 + ... + 24228626.

It is an arithmetic number, because the mean of its divisors is an integer number (312676416).

Almost surely, 2^65244065040 is an apocalyptic number.

65244065040 is a gapful number since it is divisible by the number (60) 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 65244065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150084679680).

65244065040 is an abundant number, since it is smaller than the sum of its proper divisors (234925294320).

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

65244065040 is a wasteful number, since it uses less digits than its factorization.

65244065040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 65244065040 in words is "sixty-five billion, two hundred forty-four million, sixty-five thousand, forty".