75876567640 has 128 divisors (see below), whose sum is σ = 181786809600. Its totient is φ = 28422351360.

The previous prime is 75876567629. The next prime is 75876567647. The reversal of 75876567640 is 4676567857.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75876567647) 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, 28174134 + ... + 28176826.

It is an arithmetic number, because the mean of its divisors is an integer number (1420209450).

Almost surely, 2^75876567640 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 75876567640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90893404800).

75876567640 is an abundant number, since it is smaller than the sum of its proper divisors (105910241960).

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

75876567640 is a wasteful number, since it uses less digits than its factorization.

75876567640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 61.

The spelling of 75876567640 in words is "seventy-five billion, eight hundred seventy-six million, five hundred sixty-seven thousand, six hundred forty".