842064655680 has 448 divisors, whose sum is σ = 3151936800000. Its totient is φ = 210899828736.

The previous prime is 842064655673. The next prime is 842064655681. The reversal of 842064655680 is 86556460248.

842064655680 is a `hidden beast` number, since 8 + 4 + 2 + 0 + 6 + 4 + 6 + 556 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842064655681) 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 63 ways as a sum of consecutive naturals, for example, 73287376 + ... + 73298864.

Almost surely, 2^842064655680 is an apocalyptic number.

842064655680 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 842064655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575968400000).

842064655680 is an abundant number, since it is smaller than the sum of its proper divisors (2309872144320).

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

842064655680 is a wasteful number, since it uses less digits than its factorization.

842064655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12031 (or 12015 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 842064655680 in words is "eight hundred forty-two billion, sixty-four million, six hundred fifty-five thousand, six hundred eighty".