4642076702464 has 72 divisors (see below), whose sum is σ = 9300889048752. Its totient is φ = 2312319959040.

The previous prime is 4642076702443. The next prime is 4642076702477.

4642076702464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4642076702464² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76293174 + ... + 76353994.

It is an arithmetic number, because the mean of its divisors is an integer number (129179014566).

Almost surely, 2^{4642076702464} 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 4642076702464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650444524376).

4642076702464 is an abundant number, since it is smaller than the sum of its proper divisors (4658812346288).

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

4642076702464 is an equidigital number, since it uses as much as digits as its factorization.

4642076702464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61953 (or 61939 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 52.

The spelling of 4642076702464 in words is "four trillion, six hundred forty-two billion, seventy-six million, seven hundred two thousand, four hundred sixty-four".