75940655280 has 160 divisors (see below), whose sum is σ = 269149440000. Its totient is φ = 17351248896.

The previous prime is 75940655279. The next prime is 75940655299. The reversal of 75940655280 is 8255604957.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5417721 + ... + 5431719.

It is an arithmetic number, because the mean of its divisors is an integer number (1682184000).

Almost surely, 2^75940655280 is an apocalyptic number.

75940655280 is a gapful number since it is divisible by the number (70) 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 75940655280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134574720000).

75940655280 is an abundant number, since it is smaller than the sum of its proper divisors (193208784720).

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

75940655280 is a wasteful number, since it uses less digits than its factorization.

75940655280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17251 (or 17245 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 75940655280 in words is "seventy-five billion, nine hundred forty million, six hundred fifty-five thousand, two hundred eighty".