4627688416 has 96 divisors (see below), whose sum is σ = 10054927008. Its totient is φ = 2083553280.

The previous prime is 4627688363. The next prime is 4627688419. The reversal of 4627688416 is 6148867264.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4627688419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2944911 + ... + 2946481.

It is an arithmetic number, because the mean of its divisors is an integer number (104738823).

Almost surely, 2^4627688416 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 4627688416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027463504).

4627688416 is an abundant number, since it is smaller than the sum of its proper divisors (5427238592).

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

4627688416 is a wasteful number, since it uses less digits than its factorization.

4627688416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1756 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 52.

The square root of 4627688416 is about 68027.1152997097. The cubic root of 4627688416 is about 1666.4336884653.

The spelling of 4627688416 in words is "four billion, six hundred twenty-seven million, six hundred eighty-eight thousand, four hundred sixteen".