75327321600 has 960 divisors, whose sum is σ = 292267008000. Its totient is φ = 18977587200.

The previous prime is 75327321599. The next prime is 75327321617. The reversal of 75327321600 is 612372357.

75327321600 is a `hidden beast` number, since 7 + 5 + 3 + 27 + 3 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 846374356 + ... + 846374444.

It is an arithmetic number, because the mean of its divisors is an integer number (304444800).

Almost surely, 2^75327321600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75327321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146133504000).

75327321600 is an abundant number, since it is smaller than the sum of its proper divisors (216939686400).

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

75327321600 is a wasteful number, since it uses less digits than its factorization.

75327321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

Adding to 75327321600 its reverse (612372357), we get a palindrome (75939693957).

The spelling of 75327321600 in words is "seventy-five billion, three hundred twenty-seven million, three hundred twenty-one thousand, six hundred".