64085680673280 has 960 divisors, whose sum is σ = 264792740179968. Its totient is φ = 14550998630400.

The previous prime is 64085680673233. The next prime is 64085680673293. The reversal of 64085680673280 is 8237608658046.

64085680673280 is a `hidden beast` number, since 6 + 4 + 0 + 8 + 568 + 0 + 67 + 3 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×64085680673280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 657489829 + ... + 657587291.

Almost surely, 2^{64085680673280} is an apocalyptic number.

64085680673280 is a gapful number since it is divisible by the number (60) 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 64085680673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132396370089984).

64085680673280 is an abundant number, since it is smaller than the sum of its proper divisors (200707059506688).

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

64085680673280 is an equidigital number, since it uses as much as digits as its factorization.

64085680673280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97659 (or 97631 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 64085680673280 in words is "sixty-four trillion, eighty-five billion, six hundred eighty million, six hundred seventy-three thousand, two hundred eighty".