64863887731344 has 225 divisors, whose sum is σ = 203298727489803. Its totient is φ = 19956959553024.

The previous prime is 64863887731283. The next prime is 64863887731369. The reversal of 64863887731344 is 44313778836846.

The square root of 64863887731344 is 8053812.

It is a perfect power (a square), and thus also a powerful number.

64863887731344 is a `hidden beast` number, since 6 + 48 + 6 + 388 + 7 + 73 + 134 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11618962995600 + 53244924735744 = 3408660^2 + 7296912^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3769175412 + ... + 3769192620.

Almost surely, 2^{64863887731344} is an apocalyptic number.

64863887731344 is the 8053812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64863887731344

64863887731344 is an abundant number, since it is smaller than the sum of its proper divisors (138434839758459).

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

64863887731344 is an frugal number, since it uses more digits than its factorization.

64863887731344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34464 (or 17227 counting only the distinct ones).

The product of its digits is 1560674304, while the sum is 72.

The spelling of 64863887731344 in words is "sixty-four trillion, eight hundred sixty-three billion, eight hundred eighty-seven million, seven hundred thirty-one thousand, three hundred forty-four".