75646728136 has 128 divisors (see below), whose sum is σ = 172594540800. Its totient is φ = 30361927680.

The previous prime is 75646728083. The next prime is 75646728139. The reversal of 75646728136 is 63182764657.

It is a super-3 number, since 3×75646728136³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (75646728139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71297046 + ... + 71298106.

It is an arithmetic number, because the mean of its divisors is an integer number (1348394850).

Almost surely, 2^75646728136 is an apocalyptic number.

75646728136 is a gapful number since it is divisible by the number (76) 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 75646728136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86297270400).

75646728136 is an abundant number, since it is smaller than the sum of its proper divisors (96947812664).

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

75646728136 is a wasteful number, since it uses less digits than its factorization.

75646728136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1795 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 55.

The spelling of 75646728136 in words is "seventy-five billion, six hundred forty-six million, seven hundred twenty-eight thousand, one hundred thirty-six".