84642650820 has 576 divisors, whose sum is σ = 342416954880. Its totient is φ = 16414949376.

The previous prime is 84642650789. The next prime is 84642650839. The reversal of 84642650820 is 2805624648.

84642650820 is a `hidden beast` number, since 84 + 6 + 42 + 6 + 508 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 11970246 + ... + 11977314.

It is an arithmetic number, because the mean of its divisors is an integer number (594473880).

Almost surely, 2^84642650820 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 84642650820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171208477440).

84642650820 is an abundant number, since it is smaller than the sum of its proper divisors (257774304060).

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

84642650820 is a wasteful number, since it uses less digits than its factorization.

84642650820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164 (or 7159 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 84642650820 in words is "eighty-four billion, six hundred forty-two million, six hundred fifty thousand, eight hundred twenty".