75164064690 has 256 divisors, whose sum is σ = 225936345600. Its totient is φ = 15722004480.

The previous prime is 75164064667. The next prime is 75164064697. The reversal of 75164064690 is 9646046157.

It is a super-2 number, since 2×75164064690² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75164064697) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 10863112 + ... + 10870028.

It is an arithmetic number, because the mean of its divisors is an integer number (882563850).

Almost surely, 2^75164064690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75164064690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112968172800).

75164064690 is an abundant number, since it is smaller than the sum of its proper divisors (150772280910).

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

75164064690 is a wasteful number, since it uses less digits than its factorization.

75164064690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7117.

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 75164064690 in words is "seventy-five billion, one hundred sixty-four million, sixty-four thousand, six hundred ninety".