7849884960 has 480 divisors, whose sum is σ = 29638224000. Its totient is φ = 1950842880.

The previous prime is 7849884907. The next prime is 7849884989. The reversal of 7849884960 is 694889487.

7849884960 is a `hidden beast` number, since 7 + 8 + 498 + 84 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17482816 + ... + 17483264.

It is an arithmetic number, because the mean of its divisors is an integer number (61746300).

Almost surely, 2^7849884960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7849884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819112000).

7849884960 is an abundant number, since it is smaller than the sum of its proper divisors (21788339040).

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

7849884960 is a wasteful number, since it uses less digits than its factorization.

7849884960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The square root of 7849884960 is about 88599.5765226900. The cubic root of 7849884960 is about 1987.4113424319.

The spelling of 7849884960 in words is "seven billion, eight hundred forty-nine million, eight hundred eighty-four thousand, nine hundred sixty".