4646776464 has 320 divisors, whose sum is σ = 15591502080. Its totient is φ = 1309409280.

The previous prime is 4646776441. The next prime is 4646776499.

4646776464 is a `hidden beast` number, since 464 + 67 + 7 + 64 + 64 = 666.

4646776464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4646776464.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7835752 + ... + 7836344.

It is an arithmetic number, because the mean of its divisors is an integer number (48723444).

Almost surely, 2^4646776464 is an apocalyptic number.

4646776464 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 4646776464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795751040).

4646776464 is an abundant number, since it is smaller than the sum of its proper divisors (10944725616).

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

4646776464 is a wasteful number, since it uses less digits than its factorization.

4646776464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 723 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The square root of 4646776464 is about 68167.2682744439. The cubic root of 4646776464 is about 1668.7217517248.

The spelling of 4646776464 in words is "four billion, six hundred forty-six million, seven hundred seventy-six thousand, four hundred sixty-four".