7834488480 has 1080 divisors, whose sum is σ = 35304887772. Its totient is φ = 1630347264.

The previous prime is 7834488479. The next prime is 7834488499. The reversal of 7834488480 is 848844387.

It is a happy number.

7834488480 is a `hidden beast` number, since 7 + 83 + 4 + 4 + 88 + 480 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 960752016 + 6873736464 = 30996^2 + 82908^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×7834488480² (a number of 21 digits) contains 22 as substring.

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

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 179 ways as a sum of consecutive naturals, for example, 107321724 + ... + 107321796.

Almost surely, 2^7834488480 is an apocalyptic number.

7834488480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7834488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17652443886).

7834488480 is an abundant number, since it is smaller than the sum of its proper divisors (27470399292).

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

7834488480 is a wasteful number, since it uses less digits than its factorization.

7834488480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The square root of 7834488480 is about 88512.6458761685. The cubic root of 7834488480 is about 1986.1111464708. Note that the first 4 decimals are identical.

The spelling of 7834488480 in words is "seven billion, eight hundred thirty-four million, four hundred eighty-eight thousand, four hundred eighty".