7833470976 has 144 divisors (see below), whose sum is σ = 22830787980. Its totient is φ = 2587361280.

The previous prime is 7833470899. The next prime is 7833470999. The reversal of 7833470976 is 6790743387.

It is a happy number.

7833470976 is a `hidden beast` number, since 7 + 83 + 3 + 470 + 97 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6895641600 + 937829376 = 83040^2 + 30624^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7833470976² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2080936 + ... + 2084696.

Almost surely, 2^7833470976 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 7833470976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11415393990).

7833470976 is an abundant number, since it is smaller than the sum of its proper divisors (14997317004).

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

7833470976 is a wasteful number, since it uses less digits than its factorization.

7833470976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902 (or 3879 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The square root of 7833470976 is about 88506.8979006721. The cubic root of 7833470976 is about 1986.0251607026.

The spelling of 7833470976 in words is "seven billion, eight hundred thirty-three million, four hundred seventy thousand, nine hundred seventy-six".