64275321600 has 1296 divisors, whose sum is σ = 284681779200. Its totient is φ = 13511393280.

The previous prime is 64275321599. The next prime is 64275321613. The reversal of 64275321600 is 612357246.

64275321600 is a `hidden beast` number, since 6 + 4 + 27 + 5 + 3 + 21 + 600 = 666.

64275321600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 268934281 + ... + 268934519.

Almost surely, 2^64275321600 is an apocalyptic number.

64275321600 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 64275321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142340889600).

64275321600 is an abundant number, since it is smaller than the sum of its proper divisors (220406457600).

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

64275321600 is a wasteful number, since it uses less digits than its factorization.

64275321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 64275321600 its reverse (612357246), we get a palindrome (64887678846).

The spelling of 64275321600 in words is "sixty-four billion, two hundred seventy-five million, three hundred twenty-one thousand, six hundred".