65749479763968 has 6656 divisors, whose sum is σ = 304368648192000. Its totient is φ = 13733933875200.

The previous prime is 65749479763871. The next prime is 65749479764021. The reversal of 65749479763968 is 86936797494756.

65749479763968 is a `hidden beast` number, since 6 + 5 + 7 + 4 + 9 + 479 + 76 + 3 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (6656).

It is a super-2 number, since 2×65749479763968² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2120950960113 + ... + 2120950960143.

Almost surely, 2^{65749479763968} is an apocalyptic number.

65749479763968 is a gapful number since it is divisible by the number (68) 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 65749479763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152184324096000).

65749479763968 is an abundant number, since it is smaller than the sum of its proper divisors (238619168428032).

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

65749479763968 is a wasteful number, since it uses less digits than its factorization.

65749479763968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 107 counting only the distinct ones).

The product of its digits is 103699491840, while the sum is 90.

The spelling of 65749479763968 in words is "sixty-five trillion, seven hundred forty-nine billion, four hundred seventy-nine million, seven hundred sixty-three thousand, nine hundred sixty-eight".