842353914236640 has 1536 divisors, whose sum is σ = 3090400680407040. Its totient is φ = 191233584267264.

The previous prime is 842353914236543. The next prime is 842353914236669. The reversal of 842353914236640 is 46632419353248.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 613513410994 + ... + 613513412366.

It is an arithmetic number, because the mean of its divisors is an integer number (2011979609640).

Almost surely, 2^{842353914236640} is an apocalyptic number.

842353914236640 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 842353914236640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545200340203520).

842353914236640 is an abundant number, since it is smaller than the sum of its proper divisors (2248046766170400).

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

842353914236640 is a wasteful number, since it uses less digits than its factorization.

842353914236640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 60.

The spelling of 842353914236640 in words is "eight hundred forty-two trillion, three hundred fifty-three billion, nine hundred fourteen million, two hundred thirty-six thousand, six hundred forty".