7434984816 has 600 divisors, whose sum is σ = 27155199456. Its totient is φ = 1950842880.

The previous prime is 7434984793. The next prime is 7434984871. The reversal of 7434984816 is 6184894347.

7434984816 is a `hidden beast` number, since 74 + 3 + 4 + 98 + 481 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 76649280 + ... + 76649376.

Almost surely, 2^7434984816 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 7434984816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13577599728).

7434984816 is an abundant number, since it is smaller than the sum of its proper divisors (19720214640).

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

7434984816 is a wasteful number, since it uses less digits than its factorization.

7434984816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 7434984816 is about 86226.3580119212. The cubic root of 7434984816 is about 1951.7612678903.

The spelling of 7434984816 in words is "seven billion, four hundred thirty-four million, nine hundred eighty-four thousand, eight hundred sixteen".