65964458560 has 1008 divisors, whose sum is σ = 225862359552. Its totient is φ = 18114969600.

The previous prime is 65964458537. The next prime is 65964458561. The reversal of 65964458560 is 6585446956.

It is a super-2 number, since 2×65964458560² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65964458495 and 65964458504.

It is not an unprimeable number, because it can be changed into a prime (65964458561) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 903622684 + ... + 903622756.

Almost surely, 2^65964458560 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 65964458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112931179776).

65964458560 is an abundant number, since it is smaller than the sum of its proper divisors (159897900992).

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

65964458560 is a wasteful number, since it uses less digits than its factorization.

65964458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 58.

The spelling of 65964458560 in words is "sixty-five billion, nine hundred sixty-four million, four hundred fifty-eight thousand, five hundred sixty".