7846336128 has 128 divisors (see below), whose sum is σ = 22149504000. Its totient is φ = 2461003776.

The previous prime is 7846336103. The next prime is 7846336129. The reversal of 7846336128 is 8216336487.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7846336129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1884513 + ... + 1888671.

It is an arithmetic number, because the mean of its divisors is an integer number (173043000).

Almost surely, 2^7846336128 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 7846336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11074752000).

7846336128 is an abundant number, since it is smaller than the sum of its proper divisors (14303167872).

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

7846336128 is an equidigital number, since it uses as much as digits as its factorization.

7846336128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227 (or 4181 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 7846336128 is about 88579.5468943029. The cubic root of 7846336128 is about 1987.1118029215. Note that the first 3 decimals are identical.

The spelling of 7846336128 in words is "seven billion, eight hundred forty-six million, three hundred thirty-six thousand, one hundred twenty-eight".