7830945216 has 336 divisors, whose sum is σ = 24733829120. Its totient is φ = 2452239360.

The previous prime is 7830945181. The next prime is 7830945251. The reversal of 7830945216 is 6125490387.

7830945216 is a `hidden beast` number, since 7 + 8 + 30 + 94 + 521 + 6 = 666.

7830945216 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7830945181) and next prime (7830945251).

It is a super-2 number, since 2×7830945216² (a number of 21 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

7830945216 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17837925 + ... + 17838363.

It is a 1-persistent number, because it is pandigital, but 2⋅7830945216 = 15661890432 is not.

Almost surely, 2^7830945216 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 7830945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12366914560).

7830945216 is an abundant number, since it is smaller than the sum of its proper divisors (16902883904).

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

7830945216 is a wasteful number, since it uses less digits than its factorization.

7830945216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 512 counting only the distinct ones).

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

The square root of 7830945216 is about 88492.6280319440. The cubic root of 7830945216 is about 1985.8116852139.

The spelling of 7830945216 in words is "seven billion, eight hundred thirty million, nine hundred forty-five thousand, two hundred sixteen".