75620878216128 has 896 divisors, whose sum is σ = 264371023687680. Its totient is φ = 21007741132800.

The previous prime is 75620878216069. The next prime is 75620878216139. The reversal of 75620878216128 is 82161287802657.

75620878216128 is a `hidden beast` number, since 7 + 5 + 6 + 2 + 0 + 8 + 7 + 8 + 2 + 1 + 612 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12493120750 + ... + 12493126802.

It is an arithmetic number, because the mean of its divisors is an integer number (295056946080).

Almost surely, 2^{75620878216128} 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 75620878216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132185511843840).

75620878216128 is an abundant number, since it is smaller than the sum of its proper divisors (188750145471552).

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

75620878216128 is an equidigital number, since it uses as much as digits as its factorization.

75620878216128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6445 (or 6417 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 75620878216128 in words is "seventy-five trillion, six hundred twenty billion, eight hundred seventy-eight million, two hundred sixteen thousand, one hundred twenty-eight".