65672646912 has 288 divisors, whose sum is σ = 198421708800. Its totient is φ = 21420951552.

The previous prime is 65672646889. The next prime is 65672646917. The reversal of 65672646912 is 21964627656.

65672646912 is a `hidden beast` number, since 6 + 567 + 2 + 6 + 4 + 69 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (65672646917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69347623 + ... + 69348569.

Almost surely, 2^65672646912 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 65672646912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99210854400).

65672646912 is an abundant number, since it is smaller than the sum of its proper divisors (132749061888).

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

65672646912 is a wasteful number, since it uses less digits than its factorization.

65672646912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1158 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 65672646912 in words is "sixty-five billion, six hundred seventy-two million, six hundred forty-six thousand, nine hundred twelve".