4640440464 has 60 divisors (see below), whose sum is σ = 14167410192. Its totient is φ = 1406193600.

The previous prime is 4640440457. The next prime is 4640440477.

4640440464 is a `hidden beast` number, since 4 + 640 + 4 + 4 + 0 + 4 + 6 + 4 = 666.

4640440464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1463202 + ... + 1466369.

Almost surely, 2^4640440464 is an apocalyptic number.

4640440464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4640440464 is an abundant number, since it is smaller than the sum of its proper divisors (9526969728).

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

4640440464 is a wasteful number, since it uses less digits than its factorization.

4640440464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929596 (or 2929587 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 4640440464 is about 68120.7785040659. The cubic root of 4640440464 is about 1667.9629583065.

It can be divided in two parts, 46404 and 40464, that added together give a palindrome (86868).

The spelling of 4640440464 in words is "four billion, six hundred forty million, four hundred forty thousand, four hundred sixty-four".