7842386786472 has 576 divisors, whose sum is σ = 26931662784000. Its totient is φ = 2047503080448.

The previous prime is 7842386786407. The next prime is 7842386786587. The reversal of 7842386786472 is 2746876832487.

7842386786472 is a `hidden beast` number, since 7 + 8 + 4 + 2 + 3 + 86 + 78 + 6 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

Its product of digits (1213857792) is a multiple of the sum of its prime divisors (4096).

It is a self number, because there is not a number n which added to its sum of digits gives 7842386786472.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3543779638 + ... + 3543781850.

It is an arithmetic number, because the mean of its divisors is an integer number (46756359000).

Almost surely, 2^{7842386786472} is an apocalyptic number.

7842386786472 is a gapful number since it is divisible by the number (72) 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 7842386786472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465831392000).

7842386786472 is an abundant number, since it is smaller than the sum of its proper divisors (19089275997528).

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

7842386786472 is a wasteful number, since it uses less digits than its factorization.

7842386786472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4096 counting only the distinct ones).

The product of its digits is 1213857792, while the sum is 72.

The spelling of 7842386786472 in words is "seven trillion, eight hundred forty-two billion, three hundred eighty-six million, seven hundred eighty-six thousand, four hundred seventy-two".