7841132208 has 480 divisors, whose sum is σ = 28392230400. Its totient is φ = 2028229632.

The previous prime is 7841132183. The next prime is 7841132213. The reversal of 7841132208 is 8022311487.

7841132208 is a `hidden beast` number, since 7 + 8 + 411 + 32 + 208 = 666.

It is a super-2 number, since 2×7841132208² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34240638 + ... + 34240866.

It is an arithmetic number, because the mean of its divisors is an integer number (59150480).

Almost surely, 2^7841132208 is an apocalyptic number.

7841132208 is a gapful number since it is divisible by the number (78) 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 7841132208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14196115200).

7841132208 is an abundant number, since it is smaller than the sum of its proper divisors (20551098192).

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

7841132208 is a wasteful number, since it uses less digits than its factorization.

7841132208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7841132208 is about 88550.1677468767. The cubic root of 7841132208 is about 1986.6724021775.

The spelling of 7841132208 in words is "seven billion, eight hundred forty-one million, one hundred thirty-two thousand, two hundred eight".