842363664 has 80 divisors (see below), whose sum is σ = 2230904832. Its totient is φ = 273803904.

The previous prime is 842363629. The next prime is 842363681. The reversal of 842363664 is 466363248.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 329977 + ... + 332519.

Almost surely, 2^842363664 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 842363664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115452416).

842363664 is an abundant number, since it is smaller than the sum of its proper divisors (1388541168).

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

842363664 is a wasteful number, since it uses less digits than its factorization.

842363664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2718 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 842363664 is about 29023.5019251640. The cubic root of 842363664 is about 944.4229707054.

The spelling of 842363664 in words is "eight hundred forty-two million, three hundred sixty-three thousand, six hundred sixty-four".