65742824756 has 24 divisors (see below), whose sum is σ = 132762215040. Its totient is φ = 27901946592.

The previous prime is 65742824701. The next prime is 65742824783.

65742824756 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11394971 + ... + 11400738.

It is an arithmetic number, because the mean of its divisors is an integer number (5531758960).

Almost surely, 2^65742824756 is an apocalyptic number.

It is an amenable number.

65742824756 is an abundant number, since it is smaller than the sum of its proper divisors (67019390284).

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

65742824756 is a wasteful number, since it uses less digits than its factorization.

65742824756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22795823 (or 22795821 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 56.

The spelling of 65742824756 in words is "sixty-five billion, seven hundred forty-two million, eight hundred twenty-four thousand, seven hundred fifty-six".