75936852000 has 480 divisors, whose sum is σ = 280229773824. Its totient is φ = 20139840000.

The previous prime is 75936851971. The next prime is 75936852007. The reversal of 75936852000 is 25863957.

It is a happy number.

75936852000 is a `hidden beast` number, since 7 + 593 + 6 + 8 + 52 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (75936852007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72251475 + ... + 72252525.

Almost surely, 2^75936852000 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 75936852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140114886912).

75936852000 is an abundant number, since it is smaller than the sum of its proper divisors (204292921824).

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

75936852000 is a wasteful number, since it uses less digits than its factorization.

75936852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 75936852000 in words is "seventy-five billion, nine hundred thirty-six million, eight hundred fifty-two thousand".