74733373440 has 480 divisors, whose sum is σ = 292254842880. Its totient is φ = 18114969600.

The previous prime is 74733373427. The next prime is 74733373441. The reversal of 74733373440 is 4437333747.

74733373440 is a `hidden beast` number, since 74 + 73 + 3 + 3 + 73 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (74733373441) 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 39 ways as a sum of consecutive naturals, for example, 9119745 + ... + 9127935.

It is an arithmetic number, because the mean of its divisors is an integer number (608864256).

Almost surely, 2^74733373440 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 74733373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146127421440).

74733373440 is an abundant number, since it is smaller than the sum of its proper divisors (217521469440).

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

74733373440 is a wasteful number, since it uses less digits than its factorization.

74733373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 45.

The spelling of 74733373440 in words is "seventy-four billion, seven hundred thirty-three million, three hundred seventy-three thousand, four hundred forty".