7985886048 has 216 divisors, whose sum is σ = 27394527888. Its totient is φ = 2161396224.

The previous prime is 7985886047. The next prime is 7985886053. The reversal of 7985886048 is 8406885897.

7985886048 is a `hidden beast` number, since 7 + 9 + 8 + 588 + 6 + 0 + 48 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7985886047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 722290 + ... + 733262.

It is an arithmetic number, because the mean of its divisors is an integer number (126826518).

Almost surely, 2^7985886048 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 7985886048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13697263944).

7985886048 is an abundant number, since it is smaller than the sum of its proper divisors (19408641840).

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

7985886048 is a wasteful number, since it uses less digits than its factorization.

7985886048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11034 (or 11004 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The square root of 7985886048 is about 89363.7848795585. The cubic root of 7985886048 is about 1998.8231449753.

The spelling of 7985886048 in words is "seven billion, nine hundred eighty-five million, eight hundred eighty-six thousand, forty-eight".