4642882464 has 48 divisors (see below), whose sum is σ = 13295530080. Its totient is φ = 1406933760.

The previous prime is 4642882459. The next prime is 4642882471.

4642882464 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4642882464² = 43112715149037422592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2197279 + ... + 2199390.

It is an arithmetic number, because the mean of its divisors is an integer number (276990210).

Almost surely, 2^4642882464 is an apocalyptic number.

4642882464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4642882464 is an abundant number, since it is smaller than the sum of its proper divisors (8652647616).

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

4642882464 is a wasteful number, since it uses less digits than its factorization.

4642882464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396693 (or 4396685 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 48.

The square root of 4642882464 is about 68138.7001930621. The cubic root of 4642882464 is about 1668.2554916908.

The spelling of 4642882464 in words is "four billion, six hundred forty-two million, eight hundred eighty-two thousand, four hundred sixty-four".