74354112000 has 960 divisors, whose sum is σ = 317868655104. Its totient is φ = 16970342400.

The previous prime is 74354111987. The next prime is 74354112031. The reversal of 74354112000 is 21145347.

74354112000 is a `hidden beast` number, since 7 + 43 + 5 + 411 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 108863659 + ... + 108864341.

Almost surely, 2^74354112000 is an apocalyptic number.

74354112000 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 74354112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158934327552).

74354112000 is an abundant number, since it is smaller than the sum of its proper divisors (243514543104).

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

74354112000 is an frugal number, since it uses more digits than its factorization.

74354112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 74354112000 its reverse (21145347), we get a palindrome (74375257347).

The spelling of 74354112000 in words is "seventy-four billion, three hundred fifty-four million, one hundred twelve thousand".