7478144856 has 320 divisors, whose sum is σ = 26674401600. Its totient is φ = 1903813632.

The previous prime is 7478144837. The next prime is 7478144867. The reversal of 7478144856 is 6584418747.

7478144856 is a `hidden beast` number, since 74 + 7 + 81 + 448 + 56 = 666.

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

It is a congruent number.

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, 1707886 + ... + 1712258.

It is an arithmetic number, because the mean of its divisors is an integer number (83357505).

Almost surely, 2^7478144856 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 7478144856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13337200800).

7478144856 is an abundant number, since it is smaller than the sum of its proper divisors (19196256744).

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

7478144856 is a wasteful number, since it uses less digits than its factorization.

7478144856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 4427 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The square root of 7478144856 is about 86476.2675882811. The cubic root of 7478144856 is about 1955.5306375029.

The spelling of 7478144856 in words is "seven billion, four hundred seventy-eight million, one hundred forty-four thousand, eight hundred fifty-six".