64806220800 has 330 divisors, whose sum is σ = 239977494438. Its totient is φ = 17281105920.

The previous prime is 64806220789. The next prime is 64806220819. The reversal of 64806220800 is 802260846.

64806220800 is a `hidden beast` number, since 648 + 0 + 6 + 2 + 2 + 0 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6001910784 + 58804310016 = 77472^2 + 242496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 2057974 + ... + 2089226.

Almost surely, 2^64806220800 is an apocalyptic number.

64806220800 is a gapful number since it is divisible by the number (60) 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 64806220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119988747219).

64806220800 is an abundant number, since it is smaller than the sum of its proper divisors (175171273638).

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

64806220800 is a wasteful number, since it uses less digits than its factorization.

64806220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31295 (or 31263 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 64806220800 in words is "sixty-four billion, eight hundred six million, two hundred twenty thousand, eight hundred".