64313984160000 has 1215 divisors, whose sum is σ = 238972684447497. Its totient is φ = 16629442560000.

The previous prime is 64313984159891. The next prime is 64313984160011. The reversal of 64313984160000 is 6148931346.

The square root of 64313984160000 is 8019600.

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

64313984160000 is a `hidden beast` number, since 6 + 4 + 3 + 1 + 39 + 8 + 4 + 1 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 64063247618304 + 250736541696 = 8003952^2 + 500736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 394564319919 + ... + 394564320081.

Almost surely, 2^{64313984160000} is an apocalyptic number.

64313984160000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64313984160000 is the 8019600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64313984160000

64313984160000 is an abundant number, since it is smaller than the sum of its proper divisors (174658700287497).

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

64313984160000 is an frugal number, since it uses more digits than its factorization.

64313984160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 64313984160000 in words is "sixty-four trillion, three hundred thirteen billion, nine hundred eighty-four million, one hundred sixty thousand".