64352967840 has 288 divisors, whose sum is σ = 251175375360. Its totient is φ = 14697603072.

The previous prime is 64352967839. The next prime is 64352967851. The reversal of 64352967840 is 4876925346.

64352967840 is a `hidden beast` number, since 6 + 4 + 3 + 529 + 6 + 78 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24664456 + ... + 24667064.

It is an arithmetic number, because the mean of its divisors is an integer number (872136720).

Almost surely, 2^64352967840 is an apocalyptic number.

64352967840 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 64352967840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125587687680).

64352967840 is an abundant number, since it is smaller than the sum of its proper divisors (186822407520).

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

64352967840 is a wasteful number, since it uses less digits than its factorization.

64352967840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084 (or 5073 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 64352967840 in words is "sixty-four billion, three hundred fifty-two million, nine hundred sixty-seven thousand, eight hundred forty".