74733553440 has 1152 divisors, whose sum is σ = 326258150400. Its totient is φ = 15476686848.

The previous prime is 74733553439. The next prime is 74733553493. The reversal of 74733553440 is 4435533747.

74733553440 is a `hidden beast` number, since 7 + 4 + 73 + 3 + 5 + 534 + 40 = 666.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 661358824 + ... + 661358936.

It is an arithmetic number, because the mean of its divisors is an integer number (283210200).

Almost surely, 2^74733553440 is an apocalyptic number.

74733553440 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 74733553440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163129075200).

74733553440 is an abundant number, since it is smaller than the sum of its proper divisors (251524596960).

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

74733553440 is a wasteful number, since it uses less digits than its factorization.

74733553440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 45.

The spelling of 74733553440 in words is "seventy-four billion, seven hundred thirty-three million, five hundred fifty-three thousand, four hundred forty".