75813987648 has 224 divisors, whose sum is σ = 233040326400. Its totient is φ = 21304442880.

The previous prime is 75813987647. The next prime is 75813987671. The reversal of 75813987648 is 84678931857.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75813987643) by changing a digit.

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, 44051428 + ... + 44053148.

It is an arithmetic number, because the mean of its divisors is an integer number (1040358600).

Almost surely, 2^75813987648 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 75813987648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116520163200).

75813987648 is an abundant number, since it is smaller than the sum of its proper divisors (157226338752).

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

75813987648 is a wasteful number, since it uses less digits than its factorization.

75813987648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2255 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 66.

The spelling of 75813987648 in words is "seventy-five billion, eight hundred thirteen million, nine hundred eighty-seven thousand, six hundred forty-eight".