56478767616 has 720 divisors, whose sum is σ = 191360055744. Its totient is φ = 16554295296.

The previous prime is 56478767563. The next prime is 56478767647. The reversal of 56478767616 is 61676787465.

It is a happy number.

56478767616 is a `hidden beast` number, since 5 + 6 + 4 + 7 + 8 + 7 + 6 + 7 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1313459691 + ... + 1313459733.

Almost surely, 2^56478767616 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 56478767616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95680027872).

56478767616 is an abundant number, since it is smaller than the sum of its proper divisors (134881288128).

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

56478767616 is an frugal number, since it uses more digits than its factorization.

56478767616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 56478767616 in words is "fifty-six billion, four hundred seventy-eight million, seven hundred sixty-seven thousand, six hundred sixteen".