84602620648 has 192 divisors, whose sum is σ = 208140105600. Its totient is φ = 31387668480.

The previous prime is 84602620643. The next prime is 84602620727.

84602620648 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84602620598 and 84602620607.

It is not an unprimeable number, because it can be changed into a prime (84602620643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79738038 + ... + 79739098.

It is an arithmetic number, because the mean of its divisors is an integer number (1084063050).

Almost surely, 2^84602620648 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 84602620648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104070052800).

84602620648 is an abundant number, since it is smaller than the sum of its proper divisors (123537484952).

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

84602620648 is a wasteful number, since it uses less digits than its factorization.

84602620648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The spelling of 84602620648 in words is "eighty-four billion, six hundred two million, six hundred twenty thousand, six hundred forty-eight".