75399106688 has 96 divisors (see below), whose sum is σ = 157195872000. Its totient is φ = 36016980480.

The previous prime is 75399106687. The next prime is 75399106693. The reversal of 75399106688 is 88660199357.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 75399106688.

It is not an unprimeable number, because it can be changed into a prime (75399106681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9713753 + ... + 9721511.

It is an arithmetic number, because the mean of its divisors is an integer number (1637457000).

Almost surely, 2^75399106688 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 75399106688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78597936000).

75399106688 is an abundant number, since it is smaller than the sum of its proper divisors (81796765312).

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

75399106688 is an equidigital number, since it uses as much as digits as its factorization.

75399106688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7914 (or 7871 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 62.

The spelling of 75399106688 in words is "seventy-five billion, three hundred ninety-nine million, one hundred six thousand, six hundred eighty-eight".