64348913664 has 576 divisors, whose sum is σ = 222799863780. Its totient is φ = 17836277760.

The previous prime is 64348913663. The next prime is 64348913683. The reversal of 64348913664 is 46631984346.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 59833073664 + 4515840000 = 244608^2 + 67200^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×64348913664³ (a number of 33 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64348913664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64348913663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 881491932 + ... + 881492004.

Almost surely, 2^64348913664 is an apocalyptic number.

64348913664 is a gapful number since it is divisible by the number (64) 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 64348913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111399931890).

64348913664 is an abundant number, since it is smaller than the sum of its proper divisors (158450950116).

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

64348913664 is an equidigital number, since it uses as much as digits as its factorization.

64348913664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 146 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

It can be divided in two parts, 64 and 348913664, that multiplied together give a cube (22330474496 = 2816³).

The spelling of 64348913664 in words is "sixty-four billion, three hundred forty-eight million, nine hundred thirteen thousand, six hundred sixty-four".