64817086464 has 675 divisors, whose sum is σ = 222746822067. Its totient is φ = 18770558976.

The previous prime is 64817086361. The next prime is 64817086469. The reversal of 64817086464 is 46468071846.

The square root of 64817086464 is 254592.

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

64817086464 is a `hidden beast` number, since 6 + 4 + 8 + 170 + 8 + 6 + 464 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 585252864 + 64231833600 = 24192^2 + 253440^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 64817086464.

It is not an unprimeable number, because it can be changed into a prime (64817086469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3812769784 + ... + 3812769800.

Almost surely, 2^64817086464 is an apocalyptic number.

64817086464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

64817086464 is the 254592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64817086464

64817086464 is an abundant number, since it is smaller than the sum of its proper divisors (157929735603).

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

64817086464 is an equidigital number, since it uses as much as digits as its factorization.

64817086464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 64817086464 in words is "sixty-four billion, eight hundred seventeen million, eighty-six thousand, four hundred sixty-four".