74312300832 has 576 divisors, whose sum is σ = 263019778560. Its totient is φ = 18114969600.

The previous prime is 74312300827. The next prime is 74312300837. The reversal of 74312300832 is 23800321347.

It is an interprime number because it is at equal distance from previous prime (74312300827) and next prime (74312300837).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 74312300793 and 74312300802.

It is not an unprimeable number, because it can be changed into a prime (74312300837) 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 95 ways as a sum of consecutive naturals, for example, 128790528 + ... + 128791104.

It is an arithmetic number, because the mean of its divisors is an integer number (456631560).

Almost surely, 2^74312300832 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 74312300832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131509889280).

74312300832 is an abundant number, since it is smaller than the sum of its proper divisors (188707477728).

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

74312300832 is a wasteful number, since it uses less digits than its factorization.

74312300832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 74312300832 in words is "seventy-four billion, three hundred twelve million, three hundred thousand, eight hundred thirty-two".