74973330432 has 1584 divisors, whose sum is σ = 313946785152. Its totient is φ = 17557585920.

The previous prime is 74973330431. The next prime is 74973330449. The reversal of 74973330432 is 23403337947.

74973330432 is a `hidden beast` number, since 74 + 97 + 33 + 30 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-3 number, since 3×74973330432³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74973330431) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1743565803 + ... + 1743565845.

It is an arithmetic number, because the mean of its divisors is an integer number (198198728).

Almost surely, 2^74973330432 is an apocalyptic number.

74973330432 is a gapful number since it is divisible by the number (72) 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 74973330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156973392576).

74973330432 is an abundant number, since it is smaller than the sum of its proper divisors (238973454720).

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

74973330432 is a wasteful number, since it uses less digits than its factorization.

74973330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

It can be divided in two parts, 7497 and 3330432, that added together give a square (3337929 = 1827²).

The spelling of 74973330432 in words is "seventy-four billion, nine hundred seventy-three million, three hundred thirty thousand, four hundred thirty-two".