75998127744 has 512 divisors, whose sum is σ = 280928563200. Its totient is φ = 19649433600.

The previous prime is 75998127731. The next prime is 75998127769. The reversal of 75998127744 is 44772189957.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 73712509 + ... + 73713539.

It is an arithmetic number, because the mean of its divisors is an integer number (548688600).

Almost surely, 2^75998127744 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 75998127744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140464281600).

75998127744 is an abundant number, since it is smaller than the sum of its proper divisors (204930435456).

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

75998127744 is a wasteful number, since it uses less digits than its factorization.

75998127744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1331 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 75998127744 in words is "seventy-five billion, nine hundred ninety-eight million, one hundred twenty-seven thousand, seven hundred forty-four".