7849941120 has 768 divisors, whose sum is σ = 33042124800. Its totient is φ = 1755758592.

The previous prime is 7849941109. The next prime is 7849941191. The reversal of 7849941120 is 211499487.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 61810497 + ... + 61810623.

It is an arithmetic number, because the mean of its divisors is an integer number (43023600).

Almost surely, 2^7849941120 is an apocalyptic number.

7849941120 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 7849941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16521062400).

7849941120 is an abundant number, since it is smaller than the sum of its proper divisors (25192183680).

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

7849941120 is a wasteful number, since it uses less digits than its factorization.

7849941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 7849941120 is about 88599.8934536605. The cubic root of 7849941120 is about 1987.4160818964.

The spelling of 7849941120 in words is "seven billion, eight hundred forty-nine million, nine hundred forty-one thousand, one hundred twenty".