74035503360 has 2160 divisors, whose sum is σ = 355256193600. Its totient is φ = 14547714048.

The previous prime is 74035503349. The next prime is 74035503361. The reversal of 74035503360 is 6330553047.

74035503360 is a `hidden beast` number, since 7 + 40 + 3 + 550 + 3 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (74035503361) 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 239 ways as a sum of consecutive naturals, for example, 1254839011 + ... + 1254839069.

It is an arithmetic number, because the mean of its divisors is an integer number (164470460).

Almost surely, 2^74035503360 is an apocalyptic number.

74035503360 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 74035503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177628096800).

74035503360 is an abundant number, since it is smaller than the sum of its proper divisors (281220690240).

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

74035503360 is a wasteful number, since it uses less digits than its factorization.

74035503360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The spelling of 74035503360 in words is "seventy-four billion, thirty-five million, five hundred three thousand, three hundred sixty".