64680557760 has 1344 divisors, whose sum is σ = 287575142400. Its totient is φ = 12982616064.

The previous prime is 64680557717. The next prime is 64680557761. The reversal of 64680557760 is 6775508646.

64680557760 is a `hidden beast` number, since 6 + 4 + 6 + 8 + 0 + 5 + 577 + 60 = 666.

64680557760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 64680557697 and 64680557706.

It is not an unprimeable number, because it can be changed into a prime (64680557761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 726747796 + ... + 726747884.

It is an arithmetic number, because the mean of its divisors is an integer number (213969600).

Almost surely, 2^64680557760 is an apocalyptic number.

64680557760 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 64680557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143787571200).

64680557760 is an abundant number, since it is smaller than the sum of its proper divisors (222894584640).

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

64680557760 is a wasteful number, since it uses less digits than its factorization.

64680557760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 64680557760 in words is "sixty-four billion, six hundred eighty million, five hundred fifty-seven thousand, seven hundred sixty".