7434774144 has 192 divisors, whose sum is σ = 25240250880. Its totient is φ = 2055628800.

The previous prime is 7434774103. The next prime is 7434774181. The reversal of 7434774144 is 4414774347.

7434774144 is a `hidden beast` number, since 7 + 434 + 7 + 74 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7434774144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235114 + ... + 264854.

It is an arithmetic number, because the mean of its divisors is an integer number (131459640).

Almost surely, 2^7434774144 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 7434774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12620125440).

7434774144 is an abundant number, since it is smaller than the sum of its proper divisors (17805476736).

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

7434774144 is a wasteful number, since it uses less digits than its factorization.

7434774144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29799 (or 29784 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 45.

The square root of 7434774144 is about 86225.1363814520. The cubic root of 7434774144 is about 1951.7428331818.

The spelling of 7434774144 in words is "seven billion, four hundred thirty-four million, seven hundred seventy-four thousand, one hundred forty-four".