75561984000 has 560 divisors, whose sum is σ = 282031903296. Its totient is φ = 20127744000.

The previous prime is 75561983957. The next prime is 75561984023. The reversal of 75561984000 is 48916557.

75561984000 is a `hidden beast` number, since 7 + 5 + 56 + 198 + 400 + 0 = 666.

It is a super-2 number, since 2×75561984000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 82943545 + ... + 82944455.

Almost surely, 2^75561984000 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 75561984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141015951648).

75561984000 is an abundant number, since it is smaller than the sum of its proper divisors (206469919296).

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

75561984000 is an frugal number, since it uses more digits than its factorization.

75561984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 75561984000 in words is "seventy-five billion, five hundred sixty-one million, nine hundred eighty-four thousand".