64668617222400 has 2187 divisors, whose sum is σ = 258580141511601. Its totient is φ = 16008218542080.

The previous prime is 64668617222381. The next prime is 64668617222411. The reversal of 64668617222400 is 422271686646.

It is a happy number.

The square root of 64668617222400 is 8041680.

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

64668617222400 is a `hidden beast` number, since 6 + 4 + 6 + 6 + 8 + 6 + 1 + 7 + 222 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 18479956564224 + 46188660658176 = 4298832^2 + 6796224^2 .

It is a tau number, because it is divible by the number of its divisors (2187).

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 885871468764 + ... + 885871468836.

Almost surely, 2^{64668617222400} is an apocalyptic number.

64668617222400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64668617222400 is the 8041680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64668617222400

64668617222400 is an abundant number, since it is smaller than the sum of its proper divisors (193911524289201).

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

64668617222400 is an frugal number, since it uses more digits than its factorization.

64668617222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 64668617222400 in words is "sixty-four trillion, six hundred sixty-eight billion, six hundred seventeen million, two hundred twenty-two thousand, four hundred".