942381643680 has 288 divisors, whose sum is σ = 3353639889600. Its totient is φ = 249896005632.

The previous prime is 942381643649. The next prime is 942381643759. The reversal of 942381643680 is 86346183249.

942381643680 is a `hidden beast` number, since 9 + 423 + 81 + 64 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6891816 + ... + 7027224.

It is an arithmetic number, because the mean of its divisors is an integer number (11644582950).

Almost surely, 2^942381643680 is an apocalyptic number.

942381643680 is a gapful number since it is divisible by the number (90) 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 942381643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676819944800).

942381643680 is an abundant number, since it is smaller than the sum of its proper divisors (2411258245920).

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

942381643680 is a wasteful number, since it uses less digits than its factorization.

942381643680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135618 (or 135598 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 942381643680 in words is "nine hundred forty-two billion, three hundred eighty-one million, six hundred forty-three thousand, six hundred eighty".