7849001160 has 768 divisors, whose sum is σ = 35777064960. Its totient is φ = 1438525440.

The previous prime is 7849001141. The next prime is 7849001189. The reversal of 7849001160 is 611009487.

7849001160 is a `hidden beast` number, since 7 + 8 + 490 + 0 + 1 + 160 = 666.

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 191 ways as a sum of consecutive naturals, for example, 8287807 + ... + 8288753.

It is an arithmetic number, because the mean of its divisors is an integer number (46584720).

Almost surely, 2^7849001160 is an apocalyptic number.

7849001160 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 7849001160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17888532480).

7849001160 is an abundant number, since it is smaller than the sum of its proper divisors (27928063800).

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

7849001160 is a wasteful number, since it uses less digits than its factorization.

7849001160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 7849001160 is about 88594.5887738072. The cubic root of 7849001160 is about 1987.3367536501.

The spelling of 7849001160 in words is "seven billion, eight hundred forty-nine million, one thousand, one hundred sixty".