65742768 has 240 divisors, whose sum is σ = 235609920. Its totient is φ = 16644096.

The previous prime is 65742767. The next prime is 65742769. The reversal of 65742768 is 86724756.

65742768 is a `hidden beast` number, since 6 + 574 + 2 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (65742767) and next prime (65742769).

It is a super-2 number, since 2×65742768² = 8644223088603648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65742767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379930 + ... + 380102.

It is an arithmetic number, because the mean of its divisors is an integer number (981708).

Almost surely, 2^65742768 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 65742768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117804960).

65742768 is an abundant number, since it is smaller than the sum of its proper divisors (169867152).

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

65742768 is a wasteful number, since it uses less digits than its factorization.

65742768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 65742768 is about 8108.1914136261. The cubic root of 65742768 is about 403.5983001936.

The spelling of 65742768 in words is "sixty-five million, seven hundred forty-two thousand, seven hundred sixty-eight".