7854048384 has 256 divisors, whose sum is σ = 26278855680. Its totient is φ = 2022838272.

The previous prime is 7854048361. The next prime is 7854048403. The reversal of 7854048384 is 4838404587.

It is a super-2 number, since 2×7854048384² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 1499979 + ... + 1505205.

It is an arithmetic number, because the mean of its divisors is an integer number (102651780).

Almost surely, 2^7854048384 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 7854048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139427840).

7854048384 is an abundant number, since it is smaller than the sum of its proper divisors (18424807296).

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

7854048384 is a wasteful number, since it uses less digits than its factorization.

7854048384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The square root of 7854048384 is about 88623.0691411666. The cubic root of 7854048384 is about 1987.7626415778.

The spelling of 7854048384 in words is "seven billion, eight hundred fifty-four million, forty-eight thousand, three hundred eighty-four".