74164809600 has 768 divisors, whose sum is σ = 312658560000. Its totient is φ = 16817725440.

The previous prime is 74164809599. The next prime is 74164809601. The reversal of 74164809600 is 690846147.

74164809600 is a `hidden beast` number, since 74 + 16 + 480 + 96 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (74164809599) and next prime (74164809601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74164809601) 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 95 ways as a sum of consecutive naturals, for example, 90114789 + ... + 90115611.

It is an arithmetic number, because the mean of its divisors is an integer number (407107500).

Almost surely, 2^74164809600 is an apocalyptic number.

74164809600 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 74164809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156329280000).

74164809600 is an abundant number, since it is smaller than the sum of its proper divisors (238493750400).

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

74164809600 is a wasteful number, since it uses less digits than its factorization.

74164809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 74164809600 in words is "seventy-four billion, one hundred sixty-four million, eight hundred nine thousand, six hundred".