4628671056 has 240 divisors, whose sum is σ = 14214590208. Its totient is φ = 1400217600.

The previous prime is 4628671051. The next prime is 4628671079. The reversal of 4628671056 is 6501768264.

4628671056 is a `hidden beast` number, since 4 + 628 + 6 + 7 + 10 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628671051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10739161 + ... + 10739591.

Almost surely, 2^4628671056 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 4628671056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7107295104).

4628671056 is an abundant number, since it is smaller than the sum of its proper divisors (9585919152).

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

4628671056 is a wasteful number, since it uses less digits than its factorization.

4628671056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4628671056 is about 68034.3373304980. The cubic root of 4628671056 is about 1666.5516298912.

It can be divided in two parts, 4628 and 671056, that added together give a square (675684 = 822²).

The spelling of 4628671056 in words is "four billion, six hundred twenty-eight million, six hundred seventy-one thousand, fifty-six".