64509777360 has 720 divisors, whose sum is σ = 269688631680. Its totient is φ = 13499136000.

The previous prime is 64509777359. The next prime is 64509777373. The reversal of 64509777360 is 6377790546.

64509777360 is a `hidden beast` number, since 6 + 4 + 509 + 7 + 7 + 73 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×64509777360² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64509777297 and 64509777306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92025010 + ... + 92025710.

It is an arithmetic number, because the mean of its divisors is an integer number (374567544).

Almost surely, 2^64509777360 is an apocalyptic number.

64509777360 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 64509777360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134844315840).

64509777360 is an abundant number, since it is smaller than the sum of its proper divisors (205178854320).

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

64509777360 is a wasteful number, since it uses less digits than its factorization.

64509777360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 64509777360 in words is "sixty-four billion, five hundred nine million, seven hundred seventy-seven thousand, three hundred sixty".