7849920960 has 168 divisors, whose sum is σ = 30857744736. Its totient is φ = 1794263040.

The previous prime is 7849920931. The next prime is 7849920971. The reversal of 7849920960 is 690299487.

7849920960 is a `hidden beast` number, since 78 + 499 + 20 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 7849920897 and 7849920906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174531 + ... + 214850.

It is an arithmetic number, because the mean of its divisors is an integer number (183677052).

Almost surely, 2^7849920960 is an apocalyptic number.

7849920960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7849920960 is an abundant number, since it is smaller than the sum of its proper divisors (23007823776).

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

7849920960 is a wasteful number, since it uses less digits than its factorization.

7849920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389411 (or 389398 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 7849920960 is about 88599.7796836990. The cubic root of 7849920960 is about 1987.4143805528.

The spelling of 7849920960 in words is "seven billion, eight hundred forty-nine million, nine hundred twenty thousand, nine hundred sixty".