65328775200 has 648 divisors, whose sum is σ = 254406615372. Its totient is φ = 15761940480.

The previous prime is 65328775199. The next prime is 65328775219. The reversal of 65328775200 is 257782356.

65328775200 is a `hidden beast` number, since 6 + 53 + 2 + 8 + 77 + 520 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 32872590864 + 32456184336 = 181308^2 + 180156^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 64489894 + ... + 64490906.

Almost surely, 2^65328775200 is an apocalyptic number.

65328775200 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 65328775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127203307686).

65328775200 is an abundant number, since it is smaller than the sum of its proper divisors (189077840172).

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

65328775200 is a wasteful number, since it uses less digits than its factorization.

65328775200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 65328775200 in words is "sixty-five billion, three hundred twenty-eight million, seven hundred seventy-five thousand, two hundred".