7904385216 has 672 divisors, whose sum is σ = 29965985280. Its totient is φ = 2023999488.

The previous prime is 7904385169. The next prime is 7904385217. The reversal of 7904385216 is 6125834097.

7904385216 is a `hidden beast` number, since 7 + 90 + 4 + 38 + 521 + 6 = 666.

7904385216 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

7904385216 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7904385217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47331565 + ... + 47331731.

It is an arithmetic number, because the mean of its divisors is an integer number (44592240).

It is a 1-persistent number, because it is pandigital, but 2⋅7904385216 = 15808770432 is not.

Almost surely, 2^7904385216 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 7904385216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14982992640).

7904385216 is an abundant number, since it is smaller than the sum of its proper divisors (22061600064).

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

7904385216 is a wasteful number, since it uses less digits than its factorization.

7904385216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7904385216 is about 88906.6095180780. The cubic root of 7904385216 is about 1992.0001451589. Note that the first 3 decimals are identical.

The spelling of 7904385216 in words is "seven billion, nine hundred four million, three hundred eighty-five thousand, two hundred sixteen".