64423771200 has 1134 divisors, whose sum is σ = 265706468586. Its totient is φ = 15318097920.

The previous prime is 64423771187. The next prime is 64423771253. The reversal of 64423771200 is 217732446.

64423771200 is a `hidden beast` number, since 6 + 442 + 3 + 7 + 7 + 1 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9701462016 + 54722309184 = 98496^2 + 233928^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 3390724791 + ... + 3390724809.

Almost surely, 2^64423771200 is an apocalyptic number.

64423771200 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 64423771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132853234293).

64423771200 is an abundant number, since it is smaller than the sum of its proper divisors (201282697386).

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

64423771200 is an equidigital number, since it uses as much as digits as its factorization.

64423771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 64423771200 in words is "sixty-four billion, four hundred twenty-three million, seven hundred seventy-one thousand, two hundred".