65754045756 has 192 divisors, whose sum is σ = 199707970560. Its totient is φ = 18321811200.

The previous prime is 65754045743. The next prime is 65754045757.

It is a happy number.

65754045756 is a `hidden beast` number, since 6 + 5 + 7 + 540 + 45 + 7 + 56 = 666.

65754045756 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×65754045756² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65754045757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5109426 + ... + 5122278.

It is an arithmetic number, because the mean of its divisors is an integer number (1040145680).

Almost surely, 2^65754045756 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 65754045756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99853985280).

65754045756 is an abundant number, since it is smaller than the sum of its proper divisors (133953924804).

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

65754045756 is a wasteful number, since it uses less digits than its factorization.

65754045756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13041 (or 13033 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 65754045756 in words is "sixty-five billion, seven hundred fifty-four million, forty-five thousand, seven hundred fifty-six".