7478768880 has 400 divisors, whose sum is σ = 28519603200. Its totient is φ = 1801336320.

The previous prime is 7478768863. The next prime is 7478768887. The reversal of 7478768880 is 888678747.

7478768880 is a `hidden beast` number, since 7 + 478 + 7 + 6 + 88 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7478768887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17035701 + ... + 17036139.

It is an arithmetic number, because the mean of its divisors is an integer number (71299008).

Almost surely, 2^7478768880 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 7478768880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14259801600).

7478768880 is an abundant number, since it is smaller than the sum of its proper divisors (21040834320).

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

7478768880 is a wasteful number, since it uses less digits than its factorization.

7478768880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The square root of 7478768880 is about 86479.8755780789. The cubic root of 7478768880 is about 1955.5850299640.

The spelling of 7478768880 in words is "seven billion, four hundred seventy-eight million, seven hundred sixty-eight thousand, eight hundred eighty".