65749676009472 has 768 divisors, whose sum is σ = 242041572864000. Its totient is φ = 17172083441664.

The previous prime is 65749676009461. The next prime is 65749676009519. The reversal of 65749676009472 is 27490067694756.

It is a happy number.

65749676009472 is a `hidden beast` number, since 6 + 5 + 7 + 4 + 9 + 6 + 7 + 600 + 9 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 65749676009472.

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 63 ways as a sum of consecutive naturals, for example, 518225979 + ... + 518352837.

It is an arithmetic number, because the mean of its divisors is an integer number (315158298000).

Almost surely, 2^{65749676009472} 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 65749676009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121020786432000).

65749676009472 is an abundant number, since it is smaller than the sum of its proper divisors (176291896854528).

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

65749676009472 is a wasteful number, since it uses less digits than its factorization.

65749676009472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127013 (or 126987 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 72.

The spelling of 65749676009472 in words is "sixty-five trillion, seven hundred forty-nine billion, six hundred seventy-six million, nine thousand, four hundred seventy-two".