7827642282240 has 1008 divisors, whose sum is σ = 31497587343936. Its totient is φ = 1846233907200.

The previous prime is 7827642282191. The next prime is 7827642282241. The reversal of 7827642282240 is 422822467287.

7827642282240 is a `hidden beast` number, since 7 + 82 + 7 + 6 + 42 + 282 + 240 = 666.

It is a super-2 number, since 2×7827642282240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7827642282241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 379769535 + ... + 379790145.

It is an arithmetic number, because the mean of its divisors is an integer number (31247606492).

Almost surely, 2^{7827642282240} 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 7827642282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748793671968).

7827642282240 is an abundant number, since it is smaller than the sum of its proper divisors (23669945061696).

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

7827642282240 is a wasteful number, since it uses less digits than its factorization.

7827642282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20698 (or 20669 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 7827642282240 in words is "seven trillion, eight hundred twenty-seven billion, six hundred forty-two million, two hundred eighty-two thousand, two hundred forty".