75829412832 has 192 divisors, whose sum is σ = 222703084800. Its totient is φ = 22451281920.

The previous prime is 75829412819. The next prime is 75829412833. The reversal of 75829412832 is 23821492857.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75829412833) 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, 8336607 + ... + 8345697.

It is an arithmetic number, because the mean of its divisors is an integer number (1159911900).

Almost surely, 2^75829412832 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 75829412832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111351542400).

75829412832 is an abundant number, since it is smaller than the sum of its proper divisors (146873671968).

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

75829412832 is a wasteful number, since it uses less digits than its factorization.

75829412832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9409 (or 9401 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The spelling of 75829412832 in words is "seventy-five billion, eight hundred twenty-nine million, four hundred twelve thousand, eight hundred thirty-two".