842556672 has 162 divisors, whose sum is σ = 2566416762. Its totient is φ = 265807872.

The previous prime is 842556667. The next prime is 842556709. The reversal of 842556672 is 276655248.

842556672 is a `hidden beast` number, since 84 + 2 + 5 + 566 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 439992576 + 402564096 = 20976^2 + 20064^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 831238 + ... + 832250.

Almost surely, 2^842556672 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 842556672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283208381).

842556672 is an abundant number, since it is smaller than the sum of its proper divisors (1723860090).

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

842556672 is a wasteful number, since it uses less digits than its factorization.

842556672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1037 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 842556672 is about 29026.8267642193. The cubic root of 842556672 is about 944.4950960342.

The spelling of 842556672 in words is "eight hundred forty-two million, five hundred fifty-six thousand, six hundred seventy-two".