75721820160 has 768 divisors, whose sum is σ = 294468894720. Its totient is φ = 16243752960.

The previous prime is 75721820147. The next prime is 75721820177. The reversal of 75721820160 is 6102812757.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246650727 + ... + 246651033.

It is an arithmetic number, because the mean of its divisors is an integer number (383423040).

Almost surely, 2^75721820160 is an apocalyptic number.

75721820160 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 75721820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147234447360).

75721820160 is an abundant number, since it is smaller than the sum of its proper divisors (218747074560).

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

75721820160 is a wasteful number, since it uses less digits than its factorization.

75721820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 75721820160 in words is "seventy-five billion, seven hundred twenty-one million, eight hundred twenty thousand, one hundred sixty".