4642866682464 has 96 divisors (see below), whose sum is σ = 12325551960960. Its totient is φ = 1530098076672.

The previous prime is 4642866682463. The next prime is 4642866682477.

4642866682464 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4642866682464² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4642866682395 and 4642866682404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4642866682463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156400167 + ... + 156429849.

It is an arithmetic number, because the mean of its divisors is an integer number (128391166260).

Almost surely, 2^{4642866682464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4642866682464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6162775980480).

4642866682464 is an abundant number, since it is smaller than the sum of its proper divisors (7682685278496).

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

4642866682464 is a wasteful number, since it uses less digits than its factorization.

4642866682464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48092 (or 48084 counting only the distinct ones).

The product of its digits is 509607936, while the sum is 66.

The spelling of 4642866682464 in words is "four trillion, six hundred forty-two billion, eight hundred sixty-six million, six hundred eighty-two thousand, four hundred sixty-four".