842408672640 has 512 divisors, whose sum is σ = 2908088870400. Its totient is φ = 206762803200.

The previous prime is 842408672587. The next prime is 842408672653. The reversal of 842408672640 is 46276804248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184695960 + ... + 184700520.

It is an arithmetic number, because the mean of its divisors is an integer number (5679861075).

Almost surely, 2^842408672640 is an apocalyptic number.

842408672640 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 842408672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454044435200).

842408672640 is an abundant number, since it is smaller than the sum of its proper divisors (2065680197760).

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

842408672640 is a wasteful number, since it uses less digits than its factorization.

842408672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 51.

The spelling of 842408672640 in words is "eight hundred forty-two billion, four hundred eight million, six hundred seventy-two thousand, six hundred forty".