7686744480 has 480 divisors, whose sum is σ = 29045459520. Its totient is φ = 1907712000.

The previous prime is 7686744479. The next prime is 7686744491. The reversal of 7686744480 is 844476867.

7686744480 is a `hidden beast` number, since 7 + 68 + 67 + 44 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30624355 + ... + 30624605.

It is an arithmetic number, because the mean of its divisors is an integer number (60511374).

Almost surely, 2^7686744480 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 7686744480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14522729760).

7686744480 is an abundant number, since it is smaller than the sum of its proper divisors (21358715040).

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

7686744480 is a wasteful number, since it uses less digits than its factorization.

7686744480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The square root of 7686744480 is about 87674.0810045934. The cubic root of 7686744480 is about 1973.5470362466.

The spelling of 7686744480 in words is "seven billion, six hundred eighty-six million, seven hundred forty-four thousand, four hundred eighty".