64493684393616 has 405 divisors, whose sum is σ = 191382909604393. Its totient is φ = 20273583886080.

The previous prime is 64493684393539. The next prime is 64493684393639. The reversal of 64493684393616 is 61639348639446.

It is a happy number.

The square root of 64493684393616 is 8030796.

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

64493684393616 is a `hidden beast` number, since 6 + 4 + 4 + 93 + 68 + 439 + 36 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33818923683216 + 30674760710400 = 5815404^2 + 5538480^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 131351699131 + ... + 131351699621.

Almost surely, 2^{64493684393616} is an apocalyptic number.

64493684393616 is the 8030796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64493684393616

64493684393616 is an abundant number, since it is smaller than the sum of its proper divisors (126889225210777).

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

64493684393616 is an equidigital number, since it uses as much as digits as its factorization.

64493684393616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 572 counting only the distinct ones).

The product of its digits is 1451188224, while the sum is 72.

The spelling of 64493684393616 in words is "sixty-four trillion, four hundred ninety-three billion, six hundred eighty-four million, three hundred ninety-three thousand, six hundred sixteen".