7947534816 has 576 divisors, whose sum is σ = 27639480960. Its totient is φ = 2141061120.

The previous prime is 7947534781. The next prime is 7947534823. The reversal of 7947534816 is 6184357497.

7947534816 is a `hidden beast` number, since 7 + 94 + 7 + 534 + 8 + 16 = 666.

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, 89298100 + ... + 89298188.

It is an arithmetic number, because the mean of its divisors is an integer number (47985210).

Almost surely, 2^7947534816 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 7947534816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13819740480).

7947534816 is an abundant number, since it is smaller than the sum of its proper divisors (19691946144).

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

7947534816 is a wasteful number, since it uses less digits than its factorization.

7947534816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 7947534816 is about 89148.9473633873. The cubic root of 7947534816 is about 1995.6183087346.

The spelling of 7947534816 in words is "seven billion, nine hundred forty-seven million, five hundred thirty-four thousand, eight hundred sixteen".