75610665000 has 480 divisors, whose sum is σ = 285841876320. Its totient is φ = 18607968000.

The previous prime is 75610664989. The next prime is 75610665007. The reversal of 75610665000 is 56601657.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75610665007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15792607 + ... + 15797393.

It is an arithmetic number, because the mean of its divisors is an integer number (595503909).

Almost surely, 2^75610665000 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 75610665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142920938160).

75610665000 is an abundant number, since it is smaller than the sum of its proper divisors (210231211320).

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

75610665000 is a wasteful number, since it uses less digits than its factorization.

75610665000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4841 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 75610665000 in words is "seventy-five billion, six hundred ten million, six hundred sixty-five thousand".