7941084480 has 448 divisors, whose sum is σ = 32431695360. Its totient is φ = 1813985280.

The previous prime is 7941084457. The next prime is 7941084491. The reversal of 7941084480 is 844801497.

7941084480 is a `hidden beast` number, since 7 + 94 + 1 + 0 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4898070 + ... + 4899690.

Almost surely, 2^7941084480 is an apocalyptic number.

7941084480 is a gapful number since it is divisible by the number (70) 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 7941084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215847680).

7941084480 is an abundant number, since it is smaller than the sum of its proper divisors (24490610880).

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

7941084480 is an equidigital number, since it uses as much as digits as its factorization.

7941084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 7941084480 is about 89112.7627222947. The cubic root of 7941084480 is about 1995.0782715630.

The spelling of 7941084480 in words is "seven billion, nine hundred forty-one million, eighty-four thousand, four hundred eighty".