85628336640 has 640 divisors, whose sum is σ = 359299860480. Its totient is φ = 16854220800.

The previous prime is 85628336581. The next prime is 85628336669. The reversal of 85628336640 is 4663382658.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 11232030 + ... + 11239650.

It is an arithmetic number, because the mean of its divisors is an integer number (561406032).

Almost surely, 2^85628336640 is an apocalyptic number.

85628336640 is a gapful number since it is divisible by the number (80) 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 85628336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179649930240).

85628336640 is an abundant number, since it is smaller than the sum of its proper divisors (273671523840).

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

85628336640 is a wasteful number, since it uses less digits than its factorization.

85628336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7684 (or 7668 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 85628336640 in words is "eighty-five billion, six hundred twenty-eight million, three hundred thirty-six thousand, six hundred forty".