65738511360 has 440 divisors, whose sum is σ = 236810568456. Its totient is φ = 17438146560.

The previous prime is 65738511359. The next prime is 65738511367. The reversal of 65738511360 is 6311583756.

65738511360 is a `hidden beast` number, since 6 + 5 + 73 + 8 + 511 + 3 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17703899136 + 48034612224 = 133056^2 + 219168^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65738511367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121512690 + ... + 121513230.

Almost surely, 2^65738511360 is an apocalyptic number.

65738511360 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 65738511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118405284228).

65738511360 is an abundant number, since it is smaller than the sum of its proper divisors (171072057096).

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

65738511360 is a wasteful number, since it uses less digits than its factorization.

65738511360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 65738511360 in words is "sixty-five billion, seven hundred thirty-eight million, five hundred eleven thousand, three hundred sixty".