64010428200 has 216 divisors, whose sum is σ = 223229602830. Its totient is φ = 17069097600.

The previous prime is 64010428199. The next prime is 64010428241. The reversal of 64010428200 is 282401046.

64010428200 is a `hidden beast` number, since 640 + 10 + 4 + 2 + 8 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28878923844 + 35131504356 = 169938^2 + 187434^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1287810 + ... + 1336590.

Almost surely, 2^64010428200 is an apocalyptic number.

64010428200 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 64010428200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111614801415).

64010428200 is an abundant number, since it is smaller than the sum of its proper divisors (159219174630).

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

64010428200 is an equidigital number, since it uses as much as digits as its factorization.

64010428200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48821 (or 48791 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 64010428200 its reverse (282401046), we get a palindrome (64292829246).

The spelling of 64010428200 in words is "sixty-four billion, ten million, four hundred twenty-eight thousand, two hundred".