7418676384 has 192 divisors, whose sum is σ = 25043558400. Its totient is φ = 2092656384.

The previous prime is 7418676367. The next prime is 7418676389. The reversal of 7418676384 is 4836768147.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 7418676384.

It is not an unprimeable number, because it can be changed into a prime (7418676389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470029 + ... + 485555.

It is an arithmetic number, because the mean of its divisors is an integer number (130435200).

Almost surely, 2^7418676384 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 7418676384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12521779200).

7418676384 is an abundant number, since it is smaller than the sum of its proper divisors (17624882016).

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

7418676384 is a wasteful number, since it uses less digits than its factorization.

7418676384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15632 (or 15618 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 7418676384 is about 86131.7385404474. The cubic root of 7418676384 is about 1950.3331785726. Note that the first 3 decimals are identical.

The spelling of 7418676384 in words is "seven billion, four hundred eighteen million, six hundred seventy-six thousand, three hundred eighty-four".