842102547264 has 210 divisors, whose sum is σ = 2743820355122. Its totient is φ = 255182400000.

The previous prime is 842102547233. The next prime is 842102547343. The reversal of 842102547264 is 462745201248.

842102547264 is a `hidden beast` number, since 8 + 42 + 1 + 0 + 2 + 547 + 2 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 596292840000 + 245809707264 = 772200^2 + 495792^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 43987 + ... + 1298514.

Almost surely, 2^842102547264 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 842102547264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371910177561).

842102547264 is an abundant number, since it is smaller than the sum of its proper divisors (1901717807858).

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

842102547264 is a wasteful number, since it uses less digits than its factorization.

842102547264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342547 (or 1342517 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 842102547264 in words is "eight hundred forty-two billion, one hundred two million, five hundred forty-seven thousand, two hundred sixty-four".