75483576000 has 1176 divisors, whose sum is σ = 327935990304. Its totient is φ = 16852147200.

The previous prime is 75483575983. The next prime is 75483576031. The reversal of 75483576000 is 67538457.

75483576000 is a `hidden beast` number, since 7 + 5 + 4 + 8 + 35 + 7 + 600 + 0 = 666.

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 167 ways as a sum of consecutive naturals, for example, 1755431979 + ... + 1755432021.

Almost surely, 2^75483576000 is an apocalyptic number.

75483576000 is a gapful number since it is divisible by the number (70) 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 75483576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163967995152).

75483576000 is an abundant number, since it is smaller than the sum of its proper divisors (252452414304).

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

75483576000 is an frugal number, since it uses more digits than its factorization.

75483576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 60 counting only the distinct ones).

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

The spelling of 75483576000 in words is "seventy-five billion, four hundred eighty-three million, five hundred seventy-six thousand".