4642332464 has 120 divisors (see below), whose sum is σ = 11337920160. Its totient is φ = 1802465280.

The previous prime is 4642332439. The next prime is 4642332469.

4642332464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4642332464² = 43102501412616622592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4642332469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6897632 + ... + 6898304.

It is an arithmetic number, because the mean of its divisors is an integer number (94482668).

Almost surely, 2^4642332464 is an apocalyptic number.

4642332464 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 4642332464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5668960080).

4642332464 is an abundant number, since it is smaller than the sum of its proper divisors (6695587696).

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

4642332464 is a wasteful number, since it uses less digits than its factorization.

4642332464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1202 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

The square root of 4642332464 is about 68134.6641879154. The cubic root of 4642332464 is about 1668.1896147447.

It can be divided in two parts, 46423 and 32464, that added together give a palindrome (78887).

The spelling of 4642332464 in words is "four billion, six hundred forty-two million, three hundred thirty-two thousand, four hundred sixty-four".