7830514496 has 112 divisors (see below), whose sum is σ = 18608990976. Its totient is φ = 3196452864.

The previous prime is 7830514493. The next prime is 7830514507. The reversal of 7830514496 is 6944150387.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×7830514496² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7830514496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7830514493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2646650 + ... + 2649606.

Almost surely, 2^7830514496 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 7830514496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9304495488).

7830514496 is an abundant number, since it is smaller than the sum of its proper divisors (10778476480).

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

7830514496 is a wasteful number, since it uses less digits than its factorization.

7830514496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The square root of 7830514496 is about 88490.1943494306. The cubic root of 7830514496 is about 1985.7752764762.

The spelling of 7830514496 in words is "seven billion, eight hundred thirty million, five hundred fourteen thousand, four hundred ninety-six".