478061629056 has 384 divisors, whose sum is σ = 1524019536000. Its totient is φ = 142636032000.

The previous prime is 478061629039. The next prime is 478061629093. The reversal of 478061629056 is 650926160874.

478061629056 is a `hidden beast` number, since 4 + 7 + 8 + 0 + 6 + 1 + 629 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×478061629056² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 478061628993 and 478061629011.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 254693590 + ... + 254695466.

It is an arithmetic number, because the mean of its divisors is an integer number (3968800875).

Almost surely, 2^478061629056 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 478061629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762009768000).

478061629056 is an abundant number, since it is smaller than the sum of its proper divisors (1045957906944).

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

478061629056 is a wasteful number, since it uses less digits than its factorization.

478061629056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 478061629056 in words is "four hundred seventy-eight billion, sixty-one million, six hundred twenty-nine thousand, fifty-six".