7984146384 has 30 divisors (see below), whose sum is σ = 22344521186. Its totient is φ = 2661382080.

The previous prime is 7984146383. The next prime is 7984146409. The reversal of 7984146384 is 4836414897.

7984146384 is a `hidden beast` number, since 7 + 98 + 414 + 63 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5480144784 + 2504001600 = 74028^2 + 50040^2 .

It is a super-2 number, since 2×7984146384² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7984146384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7984146383) 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 5 ways as a sum of consecutive naturals, for example, 27722587 + ... + 27722874.

Almost surely, 2^7984146384 is an apocalyptic number.

It is an amenable number.

7984146384 is an abundant number, since it is smaller than the sum of its proper divisors (14360374802).

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

7984146384 is a wasteful number, since it uses less digits than its factorization.

7984146384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55445475 (or 55445466 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 7984146384 is about 89354.0507419781. The cubic root of 7984146384 is about 1998.6779916729.

The spelling of 7984146384 in words is "seven billion, nine hundred eighty-four million, one hundred forty-six thousand, three hundred eighty-four".