7849820160 has 900 divisors, whose sum is σ = 34826864688. Its totient is φ = 1656225792.

The previous prime is 7849820123. The next prime is 7849820219. The reversal of 7849820160 is 610289487.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 603832314 + ... + 603832326.

Almost surely, 2^7849820160 is an apocalyptic number.

7849820160 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 7849820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17413432344).

7849820160 is an abundant number, since it is smaller than the sum of its proper divisors (26977044528).

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

7849820160 is an equidigital number, since it uses as much as digits as its factorization.

7849820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 7849820160 is about 88599.2108316998. The cubic root of 7849820160 is about 1987.4058737908.

The spelling of 7849820160 in words is "seven billion, eight hundred forty-nine million, eight hundred twenty thousand, one hundred sixty".