75683488000 has 72 divisors (see below), whose sum is σ = 188537108760. Its totient is φ = 30273382400.

The previous prime is 75683487961. The next prime is 75683488039. The reversal of 75683488000 is 88438657.

It is an interprime number because it is at equal distance from previous prime (75683487961) and next prime (75683488039).

It can be written as a sum of positive squares in 4 ways, for example, as 756470016 + 74927017984 = 27504^2 + 273728^2 .

It is a super-2 number, since 2×75683488000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1150555 + ... + 1214554.

It is an arithmetic number, because the mean of its divisors is an integer number (2618570955).

Almost surely, 2^75683488000 is an apocalyptic number.

It is an amenable number.

75683488000 is an abundant number, since it is smaller than the sum of its proper divisors (112853620760).

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

75683488000 is an equidigital number, since it uses as much as digits as its factorization.

75683488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365140 (or 2365116 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 75683488000 in words is "seventy-five billion, six hundred eighty-three million, four hundred eighty-eight thousand".