4606776064 has 72 divisors (see below), whose sum is σ = 10245247488. Its totient is φ = 2049377280.

The previous prime is 4606776047. The next prime is 4606776067.

4606776064 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4606776067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114949 + ... + 149755.

It is an arithmetic number, because the mean of its divisors is an integer number (142295104).

Almost surely, 2^4606776064 is an apocalyptic number.

4606776064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4606776064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122623744).

4606776064 is an abundant number, since it is smaller than the sum of its proper divisors (5638471424).

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

4606776064 is a wasteful number, since it uses less digits than its factorization.

4606776064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34881 (or 34867 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The square root of 4606776064 is about 67873.2352551431. The cubic root of 4606776064 is about 1663.9197138285.

The spelling of 4606776064 in words is "four billion, six hundred six million, seven hundred seventy-six thousand, sixty-four".